56101120 has 72 divisors (see below), whose sum is σ = 137786040. Its totient is φ = 21872640.

The previous prime is 56101081. The next prime is 56101121. The reversal of 56101120 is 2110165.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 56070144 = 176^2 + 7488^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 56101094 and 56101103.

It is not an unprimeable number, because it can be changed into a prime (56101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51946 + ... + 53014.

It is an arithmetic number, because the mean of its divisors is an integer number (1913695).

Almost surely, 2^56101120 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 56101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68893020).

56101120 is an abundant number, since it is smaller than the sum of its proper divisors (81684920).

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

56101120 is a wasteful number, since it uses less digits than its factorization.

56101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 56101120 is about 7490.0680904782. The cubic root of 56101120 is about 382.8163785641.

Adding to 56101120 its reverse (2110165), we get a palindrome (58211285).

The spelling of 56101120 in words is "fifty-six million, one hundred one thousand, one hundred twenty".