51141120 has 80 divisors (see below), whose sum is σ = 163516320. Its totient is φ = 13635584.

The previous prime is 51141113. The next prime is 51141127. The reversal of 51141120 is 2114115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51141113) and next prime (51141127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51141120.

It is not an unprimeable number, because it can be changed into a prime (51141127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4351 + ... + 11009.

It is an arithmetic number, because the mean of its divisors is an integer number (2043954).

Almost surely, 2^51141120 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 51141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81758160).

51141120 is an abundant number, since it is smaller than the sum of its proper divisors (112375200).

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

51141120 is an equidigital number, since it uses as much as digits as its factorization.

51141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 51141120 is about 7151.3019793601. The cubic root of 51141120 is about 371.1847100321.

Adding to 51141120 its reverse (2114115), we get a palindrome (53255235).

The spelling of 51141120 in words is "fifty-one million, one hundred forty-one thousand, one hundred twenty".