112133111220 has 144 divisors (see below), whose sum is σ = 370715409792. Its totient is φ = 27269395200.

The previous prime is 112133111201. The next prime is 112133111227. The reversal of 112133111220 is 22111331211.

112133111220 is a `hidden beast` number, since 112 + 1 + 331 + 1 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112133111193 and 112133111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133111227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94456 + ... + 482895.

It is an arithmetic number, because the mean of its divisors is an integer number (2574412568).

Almost surely, 2^112133111220 is an apocalyptic number.

112133111220 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 112133111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185357704896).

112133111220 is an abundant number, since it is smaller than the sum of its proper divisors (258582298572).

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

112133111220 is a wasteful number, since it uses less digits than its factorization.

112133111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577462 (or 577457 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112133111220 its reverse (22111331211), we get a palindrome (134244442431).

The spelling of 112133111220 in words is "one hundred twelve billion, one hundred thirty-three million, one hundred eleven thousand, two hundred twenty".