56112120 has 96 divisors (see below), whose sum is σ = 184766400. Its totient is φ = 14766336.

The previous prime is 56112079. The next prime is 56112151. The reversal of 56112120 is 2121165.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 56112093 and 56112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27454 + ... + 29426.

It is an arithmetic number, because the mean of its divisors is an integer number (1924650).

Almost surely, 2^56112120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92383200).

56112120 is an abundant number, since it is smaller than the sum of its proper divisors (128654280).

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

56112120 is a wasteful number, since it uses less digits than its factorization.

56112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 56112120 is about 7490.8023602282. The cubic root of 56112120 is about 382.8413971078.

Adding to 56112120 its reverse (2121165), we get a palindrome (58233285).

The spelling of 56112120 in words is "fifty-six million, one hundred twelve thousand, one hundred twenty".