112695001920 has 784 divisors, whose sum is σ = 431098104528. Its totient is φ = 27948810240.

The previous prime is 112695001901. The next prime is 112695002033. The reversal of 112695001920 is 29100596211.

112695001920 is a `hidden beast` number, since 1 + 1 + 2 + 69 + 500 + 1 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14736017664 + 97958984256 = 121392^2 + 312984^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 622624230 + ... + 622624410.

Almost surely, 2^112695001920 is an apocalyptic number.

112695001920 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 112695001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215549052264).

112695001920 is an abundant number, since it is smaller than the sum of its proper divisors (318403102608).

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

112695001920 is a wasteful number, since it uses less digits than its factorization.

112695001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 112695001920 in words is "one hundred twelve billion, six hundred ninety-five million, one thousand, nine hundred twenty".