120513253312224 has 72 divisors (see below), whose sum is σ = 344246378478912. Its totient is φ = 39990945024000.

The previous prime is 120513253312169. The next prime is 120513253312259. The reversal of 120513253312224 is 422213352315021.

120513253312224 is a `hidden beast` number, since 1 + 2 + 0 + 51 + 32 + 533 + 1 + 22 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 938161777 + ... + 938290224.

It is an arithmetic number, because the mean of its divisors is an integer number (4781199701096).

Almost surely, 2^{120513253312224} is an apocalyptic number.

It is an amenable number.

120513253312224 is an abundant number, since it is smaller than the sum of its proper divisors (223733125166688).

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

120513253312224 is a wasteful number, since it uses less digits than its factorization.

120513253312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876452240 (or 1876452229 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 120513253312224 in words is "one hundred twenty trillion, five hundred thirteen billion, two hundred fifty-three million, three hundred twelve thousand, two hundred twenty-four".