113022511449120 has 1152 divisors, whose sum is σ = 493096195178496. Its totient is φ = 23806769688576.

The previous prime is 113022511449077. The next prime is 113022511449181. The reversal of 113022511449120 is 21944115220311.

113022511449120 is a `hidden beast` number, since 1 + 1 + 30 + 2 + 2 + 5 + 114 + 491 + 20 = 666.

It is a super-2 number, since 2×113022511449120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2147588247 + ... + 2147640873.

It is an arithmetic number, because the mean of its divisors is an integer number (428034891648).

Almost surely, 2^{113022511449120} is an apocalyptic number.

113022511449120 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 113022511449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246548097589248).

113022511449120 is an abundant number, since it is smaller than the sum of its proper divisors (380073683729376).

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

113022511449120 is a wasteful number, since it uses less digits than its factorization.

113022511449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53284 (or 53264 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 113022511449120 its reverse (21944115220311), we get a palindrome (134966626669431).

The spelling of 113022511449120 in words is "one hundred thirteen trillion, twenty-two billion, five hundred eleven million, four hundred forty-nine thousand, one hundred twenty".