75120120120 has 128 divisors (see below), whose sum is σ = 227365056000. Its totient is φ = 19854429696.

The previous prime is 75120120113. The next prime is 75120120133. The reversal of 75120120120 is 2102102157.

75120120120 is a modest number, since divided by 120120 gives 75120 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8703247 + ... + 8711873.

It is an arithmetic number, because the mean of its divisors is an integer number (1776289500).

Almost surely, 2^75120120120 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 75120120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113682528000).

75120120120 is an abundant number, since it is smaller than the sum of its proper divisors (152244935880).

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

75120120120 is a wasteful number, since it uses less digits than its factorization.

75120120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 75120120120 its reverse (2102102157), we get a palindrome (77222222277).

The spelling of 75120120120 in words is "seventy-five billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".