113110222124400 has 240 divisors, whose sum is σ = 367332002818560. Its totient is φ = 29747170252800.

The previous prime is 113110222124353. The next prime is 113110222124423. The reversal of 113110222124400 is 4421222011311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×113110222124400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83032780 + ... + 84384020.

It is an arithmetic number, because the mean of its divisors is an integer number (1530550011744).

Almost surely, 2^{113110222124400} is an apocalyptic number.

113110222124400 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 113110222124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183666001409280).

113110222124400 is an abundant number, since it is smaller than the sum of its proper divisors (254221780694160).

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

113110222124400 is a wasteful number, since it uses less digits than its factorization.

113110222124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352224 (or 1352213 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 113110222124400 its reverse (4421222011311), we get a palindrome (117531444135711).

The spelling of 113110222124400 in words is "one hundred thirteen trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty-four thousand, four hundred".