120877358976 has 384 divisors, whose sum is σ = 393655242240. Its totient is φ = 35279400960.

The previous prime is 120877358963. The next prime is 120877358983. The reversal of 120877358976 is 679853778021.

120877358976 is a `hidden beast` number, since 1 + 208 + 7 + 7 + 358 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×120877358976² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48291741 + ... + 48294243.

It is an arithmetic number, because the mean of its divisors is an integer number (1025143860).

Almost surely, 2^120877358976 is an apocalyptic number.

120877358976 is a gapful number since it is divisible by the number (16) 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 120877358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196827621120).

120877358976 is an abundant number, since it is smaller than the sum of its proper divisors (272777883264).

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

120877358976 is a wasteful number, since it uses less digits than its factorization.

120877358976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 120877358976 in words is "one hundred twenty billion, eight hundred seventy-seven million, three hundred fifty-eight thousand, nine hundred seventy-six".