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111220110012 = 2231161122911239
BaseRepresentation
bin110011110010100111…
…1000011001010111100
3101122002010020222122210
41213211033003022330
53310234322010022
6123032132540420
711015065223334
oct1474517031274
9348063228583
10111220110012
11431939418a0
121967b481710
13a6462128ab
14555126a0c4
152d5e2a6a0c
hex19e53c32bc

111220110012 has 96 divisors (see below), whose sum is σ = 288006566400. Its totient is φ = 33120633600.

The previous prime is 111220110007. The next prime is 111220110013. The reversal of 111220110012 is 210011022111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 111220110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111220110013) 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, 9890289 + ... + 9901527.

It is an arithmetic number, because the mean of its divisors is an integer number (3000068400).

Almost surely, 2111220110012 is an apocalyptic number.

111220110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111220110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144003283200).

111220110012 is an abundant number, since it is smaller than the sum of its proper divisors (176786456388).

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

111220110012 is a wasteful number, since it uses less digits than its factorization.

111220110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111220110012 its reverse (210011022111), we get a palindrome (321231132123).

The spelling of 111220110012 in words is "one hundred eleven billion, two hundred twenty million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1229 1342 2013 2458 2684 3687 4026 4916 7374 8052 11239 13519 14748 22478 27038 33717 40557 44956 54076 67434 74969 81114 123629 134868 149938 162228 224907 247258 299876 370887 449814 494516 685579 741774 824659 899628 1371158 1483548 1649318 2056737 2473977 2742316 3298636 4113474 4947954 7541369 8226948 9895908 13812731 15082738 22624107 27625462 30165476 41438193 45248214 55250924 82876386 90496428 151940041 165752772 303880082 455820123 607760164 842576591 911640246 1685153182 1823280492 2527729773 3370306364 5055459546 9268342501 10110919092 18536685002 27805027503 37073370004 55610055006 111220110012