113221122432 has 256 divisors, whose sum is σ = 347835340800. Its totient is φ = 32303923200.

The previous prime is 113221122407. The next prime is 113221122461. The reversal of 113221122432 is 234221122311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4833244 + ... + 4856612.

It is an arithmetic number, because the mean of its divisors is an integer number (1358731800).

Almost surely, 2^113221122432 is an apocalyptic number.

113221122432 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 113221122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173917670400).

113221122432 is an abundant number, since it is smaller than the sum of its proper divisors (234614218368).

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

113221122432 is a wasteful number, since it uses less digits than its factorization.

113221122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23465 (or 23453 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 113221122432 its reverse (234221122311), we get a palindrome (347442244743).

The spelling of 113221122432 in words is "one hundred thirteen billion, two hundred twenty-one million, one hundred twenty-two thousand, four hundred thirty-two".