120197757164160 has 2048 divisors, whose sum is σ = 458569394841600. Its totient is φ = 26523205632000.

The previous prime is 120197757164099. The next prime is 120197757164249. The reversal of 120197757164160 is 61461757791021.

It is a super-3 number, since 3×120197757164160³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120197757164160.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 199996267860 + ... + 199996268460.

It is an arithmetic number, because the mean of its divisors is an integer number (223910837325).

Almost surely, 2^{120197757164160} is an apocalyptic number.

120197757164160 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 120197757164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229284697420800).

120197757164160 is an abundant number, since it is smaller than the sum of its proper divisors (338371637677440).

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

120197757164160 is a wasteful number, since it uses less digits than its factorization.

120197757164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 57.

The spelling of 120197757164160 in words is "one hundred twenty trillion, one hundred ninety-seven billion, seven hundred fifty-seven million, one hundred sixty-four thousand, one hundred sixty".