113221220597352 has 288 divisors, whose sum is σ = 358807855610880. Its totient is φ = 32158403585280.

The previous prime is 113221220597351. The next prime is 113221220597377. The reversal of 113221220597352 is 253795022122311.

113221220597352 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 2 + 1 + 2 + 2 + 0 + 597 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113221220597298 and 113221220597307.

It is not an unprimeable number, because it can be changed into a prime (113221220597351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1039693018 + ... + 1039801910.

It is an arithmetic number, because the mean of its divisors is an integer number (1245860609760).

Almost surely, 2^{113221220597352} is an apocalyptic number.

113221220597352 is a gapful number since it is divisible by the number (12) 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 113221220597352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179403927805440).

113221220597352 is an abundant number, since it is smaller than the sum of its proper divisors (245586635013528).

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

113221220597352 is a wasteful number, since it uses less digits than its factorization.

113221220597352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110653 (or 110639 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 113221220597352 in words is "one hundred thirteen trillion, two hundred twenty-one billion, two hundred twenty million, five hundred ninety-seven thousand, three hundred fifty-two".