1112121414400 has 108 divisors (see below), whose sum is σ = 2755418390200. Its totient is φ = 444405104640.

The previous prime is 1112121414377. The next prime is 1112121414421. The reversal of 1112121414400 is 44141212111.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6371491 + ... + 6543709.

Almost surely, 2^{1112121414400} is an apocalyptic number.

1112121414400 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 1112121414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377709195100).

1112121414400 is an abundant number, since it is smaller than the sum of its proper divisors (1643296975800).

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

1112121414400 is a wasteful number, since it uses less digits than its factorization.

1112121414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173254 (or 173235 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 1112121414400 its reverse (44141212111), we get a palindrome (1156262626511).

The spelling of 1112121414400 in words is "one trillion, one hundred twelve billion, one hundred twenty-one million, four hundred fourteen thousand, four hundred".