121930475876352 has 1248 divisors, whose sum is σ = 430934881418496. Its totient is φ = 33960591360000.

The previous prime is 121930475876303. The next prime is 121930475876479. The reversal of 121930475876352 is 253678574039121.

121930475876352 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 3 + 0 + 47 + 587 + 6 + 3 + 5 + 2 = 666.

121930475876352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a self number, because there is not a number n which added to its sum of digits gives 121930475876352.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35725306198 + ... + 35725309610.

It is an arithmetic number, because the mean of its divisors is an integer number (345300385752).

It is a 2-persistent number, because it is pandigital, and so is 2⋅121930475876352 = 243860951752704, but 3⋅121930475876352 = 365791427629056 is not.

Almost surely, 2^{121930475876352} is an apocalyptic number.

121930475876352 is a gapful number since it is divisible by the number (12) 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 121930475876352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215467440709248).

121930475876352 is an abundant number, since it is smaller than the sum of its proper divisors (309004405542144).

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

121930475876352 is a wasteful number, since it uses less digits than its factorization.

121930475876352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 121930475876352 in words is "one hundred twenty-one trillion, nine hundred thirty billion, four hundred seventy-five million, eight hundred seventy-six thousand, three hundred fifty-two".