112682405120 has 72 divisors (see below), whose sum is σ = 270170094600. Its totient is φ = 45029457920.

The previous prime is 112682405093. The next prime is 112682405131. The reversal of 112682405120 is 21504286211.

It can be written as a sum of positive squares in 4 ways, for example, as 67275909376 + 45406495744 = 259376^2 + 213088^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1300760 + ... + 1384680.

It is an arithmetic number, because the mean of its divisors is an integer number (3752362425).

Almost surely, 2^112682405120 is an apocalyptic number.

112682405120 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 112682405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135085047300).

112682405120 is an abundant number, since it is smaller than the sum of its proper divisors (157487689480).

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

112682405120 is an equidigital number, since it uses as much as digits as its factorization.

112682405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84991 (or 84977 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 112682405120 in words is "one hundred twelve billion, six hundred eighty-two million, four hundred five thousand, one hundred twenty".