112540160820 has 96 divisors (see below), whose sum is σ = 334520782848. Its totient is φ = 28171528192.

The previous prime is 112540160819. The next prime is 112540160861. The reversal of 112540160820 is 28061045211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246622 + ... + 534698.

It is an arithmetic number, because the mean of its divisors is an integer number (3484591488).

Almost surely, 2^112540160820 is an apocalyptic number.

112540160820 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 112540160820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167260391424).

112540160820 is an abundant number, since it is smaller than the sum of its proper divisors (221980622028).

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

112540160820 is a wasteful number, since it uses less digits than its factorization.

112540160820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288489 (or 288487 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 112540160820 in words is "one hundred twelve billion, five hundred forty million, one hundred sixty thousand, eight hundred twenty".