112502444505120 has 144 divisors (see below), whose sum is σ = 383917492976472. Its totient is φ = 30000425164800.

The previous prime is 112502444505119. The next prime is 112502444505127. The reversal of 112502444505120 is 21505444205211.

112502444505120 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 0 + 24 + 4 + 4 + 505 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88921203478416 + 23581241026704 = 9429804^2 + 4856052^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112502444505127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288198070 + ... + 288588170.

Almost surely, 2^{112502444505120} is an apocalyptic number.

112502444505120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112502444505120 is an abundant number, since it is smaller than the sum of its proper divisors (271415048471352).

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

112502444505120 is a wasteful number, since it uses less digits than its factorization.

112502444505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590395 (or 590384 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 112502444505120 in words is "one hundred twelve trillion, five hundred two billion, four hundred forty-four million, five hundred five thousand, one hundred twenty".