120125264 has 60 divisors (see below), whose sum is σ = 286699284. Its totient is φ = 48448512.

The previous prime is 120125261. The next prime is 120125309. The reversal of 120125264 is 462521021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75342400 + 44782864 = 8680^2 + 6692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120125261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8822 + ... + 17834.

Almost surely, 2^120125264 is an apocalyptic number.

120125264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143349642).

120125264 is an abundant number, since it is smaller than the sum of its proper divisors (166574020).

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

120125264 is a wasteful number, since it uses less digits than its factorization.

120125264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 120125264 is about 10960.1671520100. The cubic root of 120125264 is about 493.4139816208.

Adding to 120125264 its reverse (462521021), we get a palindrome (582646285).

The spelling of 120125264 in words is "one hundred twenty million, one hundred twenty-five thousand, two hundred sixty-four".