112806208080 has 90 divisors (see below), whose sum is σ = 378871117326. Its totient is φ = 30079252224.

The previous prime is 112806208079. The next prime is 112806208087. The reversal of 112806208080 is 80802608211.

112806208080 is a `hidden beast` number, since 1 + 1 + 28 + 0 + 620 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 64365719616 + 48440488464 = 253704^2 + 220092^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112806208087) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9005982 + ... + 9018498.

Almost surely, 2^112806208080 is an apocalyptic number.

112806208080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112806208080 is an abundant number, since it is smaller than the sum of its proper divisors (266064909246).

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

112806208080 is an frugal number, since it uses more digits than its factorization.

112806208080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25053 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 112806208080 in words is "one hundred twelve billion, eight hundred six million, two hundred eight thousand, eighty".