120225021532000 has 576 divisors, whose sum is σ = 374994306086400. Its totient is φ = 37459158912000.

The previous prime is 120225021531919. The next prime is 120225021532003. The reversal of 120225021532000 is 235120522021.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120225021532003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7112635549 + ... + 7112652451.

It is an arithmetic number, because the mean of its divisors is an integer number (651031781400).

Almost surely, 2^{120225021532000} is an apocalyptic number.

120225021532000 is a gapful number since it is divisible by the number (10) 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 120225021532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187497153043200).

120225021532000 is an abundant number, since it is smaller than the sum of its proper divisors (254769284554400).

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

120225021532000 is a wasteful number, since it uses less digits than its factorization.

120225021532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20252 (or 20227 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

It can be divided in two parts, 120225021 and 532000, that added together give a palindrome (120757021).

The spelling of 120225021532000 in words is "one hundred twenty trillion, two hundred twenty-five billion, twenty-one million, five hundred thirty-two thousand".