112312232211120 has 320 divisors, whose sum is σ = 352965697749504. Its totient is φ = 29539709337600.

The previous prime is 112312232211097. The next prime is 112312232211197. The reversal of 112312232211120 is 21112232213211.

It is a super-2 number, since 2×112312232211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7168705527 + ... + 7168721193.

Almost surely, 2^{112312232211120} is an apocalyptic number.

112312232211120 is a gapful number since it is divisible by the number (10) 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 112312232211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176482848874752).

112312232211120 is an abundant number, since it is smaller than the sum of its proper divisors (240653465538384).

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

112312232211120 is a wasteful number, since it uses less digits than its factorization.

112312232211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16900 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 112312232211120 its reverse (21112232213211), we get a palindrome (133424464424331).

The spelling of 112312232211120 in words is "one hundred twelve trillion, three hundred twelve billion, two hundred thirty-two million, two hundred eleven thousand, one hundred twenty".