120525225312 has 288 divisors, whose sum is σ = 347749936128. Its totient is φ = 36406493184.

The previous prime is 120525225269. The next prime is 120525225341. The reversal of 120525225312 is 213522525021.

It is a self number, because there is not a number n which added to its sum of digits gives 120525225312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721707853 + ... + 721708019.

It is an arithmetic number, because the mean of its divisors is an integer number (1207465056).

Almost surely, 2^120525225312 is an apocalyptic number.

120525225312 is a gapful number since it is divisible by the number (12) 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 120525225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173874968064).

120525225312 is an abundant number, since it is smaller than the sum of its proper divisors (227224710816).

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

120525225312 is a wasteful number, since it uses less digits than its factorization.

120525225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 120525225312 in words is "one hundred twenty billion, five hundred twenty-five million, two hundred twenty-five thousand, three hundred twelve".