51120 has 60 divisors (see below), whose sum is σ = 174096. Its totient is φ = 13440.

The previous prime is 51109. The next prime is 51131. The reversal of 51120 is 2115.

It is a happy number.

51120 is nontrivially palindromic in base 11.

51120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51109) and next prime (51131).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×51120² = 5226508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 9.

It is an unprimeable number.

51120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 685 + ... + 755.

2⁵¹¹²⁰ 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 51120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048).

51120 is an abundant number, since it is smaller than the sum of its proper divisors (122976).

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

51120 is a wasteful number, since it uses less digits than its factorization.

51120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 51120 is about 226.0973241770. The cubic root of 51120 is about 37.1133606338.

Adding to 51120 its reverse (2115), we get a palindrome (53235).

It can be divided in two parts, 51 and 120, that added together give a palindrome (171).

The spelling of 51120 in words is "fifty-one thousand, one hundred twenty".