120345254525200 has 120 divisors (see below), whose sum is σ = 291906708649920. Its totient is φ = 47677682956800.

The previous prime is 120345254525161. The next prime is 120345254525201. The reversal of 120345254525200 is 2525452543021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (120345254525201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16449891 + ... + 22611709.

It is an arithmetic number, because the mean of its divisors is an integer number (2432555905416).

Almost surely, 2^{120345254525200} is an apocalyptic number.

120345254525200 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 120345254525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145953354324960).

120345254525200 is an abundant number, since it is smaller than the sum of its proper divisors (171561454124720).

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

120345254525200 is a wasteful number, since it uses less digits than its factorization.

120345254525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162305 (or 6162294 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 120345254525200 in words is "one hundred twenty trillion, three hundred forty-five billion, two hundred fifty-four million, five hundred twenty-five thousand, two hundred".