120977765637120 has 704 divisors, whose sum is σ = 491444441241600. Its totient is φ = 27646867537920.

The previous prime is 120977765637107. The next prime is 120977765637191. The reversal of 120977765637120 is 21736567779021.

120977765637120 is a `hidden beast` number, since 1 + 209 + 7 + 7 + 7 + 6 + 56 + 371 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7897228821 + ... + 7897244139.

It is an arithmetic number, because the mean of its divisors is an integer number (698074490400).

Almost surely, 2^{120977765637120} is an apocalyptic number.

120977765637120 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 120977765637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245722220620800).

120977765637120 is an abundant number, since it is smaller than the sum of its proper divisors (370466675604480).

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

120977765637120 is a wasteful number, since it uses less digits than its factorization.

120977765637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23521 (or 23497 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 120977765637120 in words is "one hundred twenty trillion, nine hundred seventy-seven billion, seven hundred sixty-five million, six hundred thirty-seven thousand, one hundred twenty".