112133313221220 has 240 divisors, whose sum is σ = 363489989341248. Its totient is φ = 28915555219200.

The previous prime is 112133313221203. The next prime is 112133313221221. The reversal of 112133313221220 is 22122313331211.

112133313221220 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 331 + 322 + 1 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112133313221221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4031695 + ... + 15508745.

Almost surely, 2^{112133313221220} is an apocalyptic number.

112133313221220 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 112133313221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181744994670624).

112133313221220 is an abundant number, since it is smaller than the sum of its proper divisors (251356676120028).

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

112133313221220 is a wasteful number, since it uses less digits than its factorization.

112133313221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11477272 (or 11477261 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 112133313221220 its reverse (22122313331211), we get a palindrome (134255626552431).

The spelling of 112133313221220 in words is "one hundred twelve trillion, one hundred thirty-three billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred twenty".