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12210120212112 = 2432313773925459
BaseRepresentation
bin1011000110101110001111…
…1000001011111010010000
31121020021110021022211102200
42301223203320023322100
53100022311233241422
641545130215243200
72400103106235054
oct261534370137220
947207407284380
1012210120212112
1139883125a7169
1214524a0679500
136a7542598844
14302d89b95c64
1516292ea9b2ac
hexb1ae3e0be90

12210120212112 has 120 divisors (see below), whose sum is σ = 36227023822080. Its totient is φ = 3832295742720.

The previous prime is 12210120212107. The next prime is 12210120212131. The reversal of 12210120212112 is 21121202101221.

12210120212112 is a `hidden beast` number, since 1 + 221 + 0 + 120 + 212 + 112 = 666.

12210120212112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 36797562 + ... + 37127897.

It is an arithmetic number, because the mean of its divisors is an integer number (301891865184).

Almost surely, 212210120212112 is an apocalyptic number.

12210120212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210120212112 is an abundant number, since it is smaller than the sum of its proper divisors (24016903609968).

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

12210120212112 is a wasteful number, since it uses less digits than its factorization.

12210120212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73925541 (or 73925532 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12210120212112 its reverse (21121202101221), we get a palindrome (33331322313333).

The spelling of 12210120212112 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 1116 1147 1332 1488 1776 2232 2294 2664 3441 4464 4588 5328 6882 9176 10323 13764 18352 20646 27528 41292 55056 82584 165168 73925459 147850918 221776377 295701836 443552754 591403672 665329131 887105508 1182807344 1330658262 1774211016 2291689229 2661316524 2735241983 3548422032 4583378458 5322633048 5470483966 6875067687 8205725949 9166756916 10645266096 10940967932 13750135374 16411451898 18333513832 20625203061 21881935864 24617177847 27500270748 32822903796 36667027664 41250406122 43763871728 49234355694 55000541496 65645807592 82500812244 84792501473 98468711388 110001082992 131291615184 165001624488 169585002946 196937422776 254377504419 330003248976 339170005892 393874845552 508755008838 678340011784 763132513257 1017510017676 1356680023568 1526265026514 2035020035352 3052530053028 4070040070704 6105060106056 12210120212112