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120010022112222 = 23511149914975693
BaseRepresentation
bin11011010010011000000010…
…101111001100101111011110
3120201220211211210011002100000
4123102120002233030233132
5111212221011130042342
61103123502033315130
734164303136553214
oct3322300257145736
9521824753132300
10120010022112222
1135269a67911490
12115628b5705aa6
1351c6b86889aa8
14218c73210acb4
15dd1b0943044c
hex6d2602bccbde

120010022112222 has 96 divisors (see below), whose sum is σ = 294362241264000. Its totient is φ = 36342410317920.

The previous prime is 120010022112163. The next prime is 120010022112223. The reversal of 120010022112222 is 222211220010021.

It is a happy number.

120010022112222 is a `hidden beast` number, since 1 + 200 + 10 + 0 + 221 + 12 + 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 = 120010022112195 and 120010022112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010022112223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525808 + ... + 15501500.

It is an arithmetic number, because the mean of its divisors is an integer number (3066273346500).

Almost surely, 2120010022112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010022112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147181120632000).

120010022112222 is an abundant number, since it is smaller than the sum of its proper divisors (174352219151778).

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

120010022112222 is a wasteful number, since it uses less digits than its factorization.

120010022112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14977220 (or 14977208 counting only the distinct ones).

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

Adding to 120010022112222 its reverse (222211220010021), we get a palindrome (342221242122243).

The spelling of 120010022112222 in words is "one hundred twenty trillion, ten billion, twenty-two million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1499 1782 2673 2998 4497 5346 8994 13491 16489 26982 32978 40473 49467 80946 98934 121419 148401 242838 296802 364257 445203 728514 890406 1335609 2671218 4006827 8013654 14975693 29951386 44927079 89854158 134781237 164732623 269562474 329465246 404343711 494197869 808687422 988395738 1213031133 1482593607 2426062266 2965187214 3639093399 4447780821 7278186798 8895561642 13343342463 22448563807 26686684926 40030027389 44897127614 67345691421 80060054778 134691382842 202037074263 246934201877 404074148526 493868403754 606111222789 740802605631 1212222445578 1481605211262 1818333668367 2222407816893 3636667336734 4444815633786 5455001005101 6667223450679 10910002010202 13334446901358 20001670352037 40003340704074 60005011056111 120010022112222