120197805464400 has 120 divisors (see below), whose sum is σ = 405298565169120. Its totient is φ = 30365761374720.

The previous prime is 120197805464393. The next prime is 120197805464411. The reversal of 120197805464400 is 4464508791021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635893987 + ... + 2635939586.

It is an arithmetic number, because the mean of its divisors is an integer number (3377488043076).

Almost surely, 2^{120197805464400} is an apocalyptic number.

120197805464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120197805464400 is an abundant number, since it is smaller than the sum of its proper divisors (285100759704720).

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

120197805464400 is a wasteful number, since it uses less digits than its factorization.

120197805464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271833613 (or 5271833602 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 120197805464400 in words is "one hundred twenty trillion, one hundred ninety-seven billion, eight hundred five million, four hundred sixty-four thousand, four hundred".