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120012012120222 = 23419535501133733
BaseRepresentation
bin11011010010011001111001…
…010110011110100010011110
3120201221000222110200222010000
4123102121321112132202132
5111212234100100321342
61103124431322155130
734164403352420625
oct3322317126364236
9521830873628100
10120012012120222
113526a8991539a2
1211563170052aa6
1351c7112c46111
14218c8805246bc
15dd1bc3ebc44c
hex6d267959e89e

120012012120222 has 160 divisors (see below), whose sum is σ = 288464783634720. Its totient is φ = 37176426144000.

The previous prime is 120012012120137. The next prime is 120012012120229. The reversal of 120012012120222 is 222021210210021.

It is a happy number.

120012012120222 is a `hidden beast` number, since 1 + 200 + 1 + 201 + 21 + 20 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120012012120195 and 120012012120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012012120229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 897333268 + ... + 897467000.

It is an arithmetic number, because the mean of its divisors is an integer number (1802904897717).

Almost surely, 2120012012120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120012012120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144232391817360).

120012012120222 is an abundant number, since it is smaller than the sum of its proper divisors (168452771514498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120012012120222 is a wasteful number, since it uses less digits than its factorization.

120012012120222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139320 (or 139311 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120012012120222 its reverse (222021210210021), we get a palindrome (342033222330243).

The spelling of 120012012120222 in words is "one hundred twenty trillion, twelve billion, twelve million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 159 162 171 318 342 477 513 954 1007 1026 1431 1539 2014 2862 3021 3078 4293 5501 6042 8586 9063 11002 16503 18126 27189 33006 49509 54378 81567 99018 104519 133733 148527 163134 209038 267466 291553 297054 313557 401199 445581 583106 627114 802398 874659 891162 940671 1203597 1749318 1881342 2407194 2540927 2623977 2822013 3610791 5081854 5247954 5539507 5644026 7087849 7221582 7622781 7871931 8466039 10832373 11079014 14175698 15245562 15743862 16618521 16932078 21263547 21664746 22868343 23615793 33237042 42527094 45736686 47231586 49855563 63790641 68605029 99711126 127581282 134669131 137210058 149566689 191371923 205815087 269338262 299133378 382743846 404007393 411630174 448700067 574115769 735665233 808014786 897400134 1148231538 1212022179 1471330466 2206995699 2424044358 3636066537 4413991398 6620987097 7272133074 10908199611 13241974194 13977639427 19862961291 21816399222 27955278854 38990257349 39725922582 41932918281 59588883873 77980514698 83865836562 116970772047 119177767746 125798754843 233941544094 251597509686 350912316141 377396264529 701824632282 740814889631 754792529058 1052736948423 1132188793587 1481629779262 2105473896846 2222444668893 2264377587174 3158210845269 4444889337786 6316421690538 6667334006679 13334668013358 20002002020037 40004004040074 60006006060111 120012012120222