111112352400 has 480 divisors, whose sum is σ = 413451537408. Its totient is φ = 24984115200.

The previous prime is 111112352399. The next prime is 111112352413. The reversal of 111112352400 is 4253211111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162682459 + ... + 162683141.

Almost surely, 2^111112352400 is an apocalyptic number.

111112352400 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 111112352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206725768704).

111112352400 is an abundant number, since it is smaller than the sum of its proper divisors (302339185008).

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

111112352400 is a wasteful number, since it uses less digits than its factorization.

111112352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 111112352400 its reverse (4253211111), we get a palindrome (115365563511).

The spelling of 111112352400 in words is "one hundred eleven billion, one hundred twelve million, three hundred fifty-two thousand, four hundred".