112300411440 has 160 divisors (see below), whose sum is σ = 397969814016. Its totient is φ = 25661859840.

The previous prime is 112300411337. The next prime is 112300411453. The reversal of 112300411440 is 44114003211.

It is a super-2 number, since 2×112300411440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9138100 + ... + 9150380.

Almost surely, 2^112300411440 is an apocalyptic number.

112300411440 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 112300411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198984907008).

112300411440 is an abundant number, since it is smaller than the sum of its proper divisors (285669402576).

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

112300411440 is a wasteful number, since it uses less digits than its factorization.

112300411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17747 (or 17741 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 112300411440 its reverse (44114003211), we get a palindrome (156414414651).

The spelling of 112300411440 in words is "one hundred twelve billion, three hundred million, four hundred eleven thousand, four hundred forty".