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12121202222010 = 2335729992138491
BaseRepresentation
bin1011000001100010111111…
…1100111110001110111010
31120220202221102102220212000
42300120233330332032322
53042043210232101020
641440223050201430
72360504455626240
oct260305774761672
946822842386760
1012121202222010
113953633723132
121439206123276
1369c04199890b
142dc952872790
15160478700090
hexb062ff3e3ba

12121202222010 has 128 divisors (see below), whose sum is σ = 36953141760000. Its totient is φ = 2769635384640.

The previous prime is 12121202221969. The next prime is 12121202222023. The reversal of 12121202222010 is 1022220212121.

It is a happy number.

12121202222010 is a `hidden beast` number, since 121 + 2 + 120 + 222 + 201 + 0 = 666.

It is a super-2 number, since 2×121212022220102 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4598865 + ... + 6737355.

It is an arithmetic number, because the mean of its divisors is an integer number (288696420000).

Almost surely, 212121202222010 is an apocalyptic number.

12121202222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121202222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476570880000).

12121202222010 is an abundant number, since it is smaller than the sum of its proper divisors (24831939537990).

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

12121202222010 is a wasteful number, since it uses less digits than its factorization.

12121202222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141513 (or 2141507 counting only the distinct ones).

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

Adding to 12121202222010 its reverse (1022220212121), we get a palindrome (13143422434131).

The spelling of 12121202222010 in words is "twelve trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2999 5998 8997 14995 17994 20993 26991 29990 41986 44985 53982 62979 80973 89970 104965 125958 134955 161946 188937 209930 269910 314895 377874 404865 566811 629790 809730 944685 1133622 1889370 2138491 2834055 4276982 5668110 6415473 10692455 12830946 14969437 19246419 21384910 29938874 32077365 38492838 44908311 57739257 64154730 74847185 89816622 96232095 115478514 134724933 149694370 192464190 224541555 269449866 288696285 404174799 449083110 577392570 673624665 808349598 1347249330 2020873995 4041747990 6413334509 12826669018 19240003527 32066672545 38480007054 44893341563 57720010581 64133345090 89786683126 96200017635 115440021162 134680024689 173160031743 192400035270 224466707815 269360049378 288600052905 346320063486 404040074067 448933415630 577200105810 673400123445 808080148134 865800158715 1212120222201 1346800246890 1731600317430 2020200370335 2424240444402 4040400740670 6060601111005 12121202222010