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112012121021112 = 23331362563637603
BaseRepresentation
bin11001011101111111011010…
…101011110001101010111000
3112200121020212022020022012000
4121131333122223301222320
5104140201310440133422
61034121354044221000
732410415531144604
oct3135773253615270
9480536768208160
10112012121021112
113276608a1915a4
121069084883a760
134a6690ba90c70
141d935b6512504
15ce3a5b8b8cac
hex65dfdaaf1ab8

112012121021112 has 128 divisors (see below), whose sum is σ = 335084875910400. Its totient is φ = 34464663063936.

The previous prime is 112012121021057. The next prime is 112012121021117. The reversal of 112012121021112 is 211120121210211.

It is a happy number.

112012121021112 is a `hidden beast` number, since 1 + 120 + 121 + 210 + 211 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012121021117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175358103 + ... + 175995705.

It is an arithmetic number, because the mean of its divisors is an integer number (2617850593050).

Almost surely, 2112012121021112 is an apocalyptic number.

112012121021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112012121021112 is an abundant number, since it is smaller than the sum of its proper divisors (223072754889288).

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

112012121021112 is a wasteful number, since it uses less digits than its factorization.

112012121021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700194 (or 700184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112012121021112 its reverse (211120121210211), we get a palindrome (323132242231323).

The spelling of 112012121021112 in words is "one hundred twelve trillion, twelve billion, one hundred twenty-one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 62563 125126 187689 250252 375378 500504 563067 637603 750756 813319 1126134 1275206 1501512 1626638 1689201 1912809 2252268 2439957 2550412 3253276 3378402 3825618 4504536 4879914 5100824 5738427 6506552 6756804 7319871 7651236 8288839 9759828 11476854 13513608 14639742 15302472 16577678 17215281 19519656 21959613 22953708 24866517 29279484 33155356 34430562 43919226 45907416 49733034 58558968 66310712 68861124 74599551 87838452 99466068 137722248 149199102 175676904 198932136 223798653 298398204 447597306 596796408 895194612 1790389224 39890356489 79780712978 119671069467 159561425956 239342138934 319122851912 359013208401 478684277868 518574634357 718026416802 957368555736 1037149268714 1077039625203 1436052833604 1555723903071 2074298537428 2154079250406 2872105667208 3111447806142 4148597074856 4308158500812 4667171709213 6222895612284 8616317001624 9334343418426 12445791224568 14001515127639 18668686836852 28003030255278 37337373673704 56006060510556 112012121021112