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112121021112012 = 223311587160780177
BaseRepresentation
bin11001011111100100110101…
…101000101001111011001100
3112200222122221201222002221000
4121133210311220221323030
5104143442322401041022
61034243404103140300
732421322265511153
oct3137446550517314
9480878851862830
10112121021112012
11327a8292479720
12106a997b144690
134a73c7543c683
141d989875bc59a
15ce67d21476ac
hex65f935a29ecc

112121021112012 has 96 divisors (see below), whose sum is σ = 317650182071040. Its totient is φ = 33918185928960.

The previous prime is 112121021112011. The next prime is 112121021112029. The reversal of 112121021112012 is 210211120121211.

It is a happy number.

112121021112012 is a `hidden beast` number, since 1 + 121 + 210 + 211 + 120 + 1 + 2 = 666.

It is a super-2 number, since 2×1121210211120122 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112121021112011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79692733 + ... + 81087444.

It is an arithmetic number, because the mean of its divisors is an integer number (3308856063240).

Almost surely, 2112121021112012 is an apocalyptic number.

112121021112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112121021112012 is an abundant number, since it is smaller than the sum of its proper divisors (205529160959028).

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

112121021112012 is a wasteful number, since it uses less digits than its factorization.

112121021112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160780788 (or 160780780 counting only the distinct ones).

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

Adding to 112121021112012 its reverse (210211120121211), we get a palindrome (322332141233223).

It can be divided in two parts, 1121210 and 21112012, that added together give a palindrome (22233222).

The spelling of 112121021112012 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 587 594 1174 1188 1761 2348 3522 5283 6457 7044 10566 12914 15849 19371 21132 25828 31698 38742 58113 63396 77484 116226 174339 232452 348678 697356 160780177 321560354 482340531 643120708 964681062 1447021593 1768581947 1929362124 2894043186 3537163894 4341064779 5305745841 5788086372 7074327788 8682129558 10611491682 15917237523 17364259116 21222983364 31834475046 47751712569 63668950092 94377963899 95503425138 188755927798 191006850276 283133891697 377511855596 566267783394 849401675091 1038157602889 1132535566788 1698803350182 2076315205778 2548205025273 3114472808667 3397606700364 4152630411556 5096410050546 6228945617334 9343418426001 10192820101092 12457891234668 18686836852002 28030255278003 37373673704004 56060510556006 112121021112012