112033201120 has 48 divisors (see below), whose sum is σ = 264699495648. Its totient is φ = 44809715200.

The previous prime is 112033201031. The next prime is 112033201123. The reversal of 112033201120 is 21102330211.

112033201120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112033201120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112033201094 and 112033201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112033201123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3046845 + ... + 3083395.

It is an arithmetic number, because the mean of its divisors is an integer number (5514572826).

Almost surely, 2^112033201120 is an apocalyptic number.

112033201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112033201120 is an abundant number, since it is smaller than the sum of its proper divisors (152666294528).

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

112033201120 is a wasteful number, since it uses less digits than its factorization.

112033201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55723 (or 55715 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112033201120 its reverse (21102330211), we get a palindrome (133135531331).

The spelling of 112033201120 in words is "one hundred twelve billion, thirty-three million, two hundred one thousand, one hundred twenty".