120510336398400 has 1701 divisors, whose sum is σ = 481369091114223. Its totient is φ = 28580713574400.

The previous prime is 120510336398393. The next prime is 120510336398429. The reversal of 120510336398400 is 4893633015021.

The square root of 120510336398400 is 10977720.

It is a perfect power (a square), and thus also a powerful number.

120510336398400 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 1 + 0 + 3 + 3 + 639 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31061717476416 + 89448618921984 = 5573304^2 + 9457728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 530882539087 + ... + 530882539313.

Almost surely, 2^{120510336398400} is an apocalyptic number.

120510336398400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120510336398400 is the 10977720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120510336398400

120510336398400 is an abundant number, since it is smaller than the sum of its proper divisors (360858754715823).

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

120510336398400 is a wasteful number, since it uses less digits than its factorization.

120510336398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 120510336398400 in words is "one hundred twenty trillion, five hundred ten billion, three hundred thirty-six million, three hundred ninety-eight thousand, four hundred".