121957362476928 has 192 divisors, whose sum is σ = 399494720926080. Its totient is φ = 35349960053760.

The previous prime is 121957362476867. The next prime is 121957362476959. The reversal of 121957362476928 is 829674263759121.

121957362476928 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 5 + 7 + 3 + 62 + 476 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208929426 + ... + 209512337.

It is an arithmetic number, because the mean of its divisors is an integer number (2080701671490).

Almost surely, 2^{121957362476928} is an apocalyptic number.

121957362476928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121957362476928 is an abundant number, since it is smaller than the sum of its proper divisors (277537358449152).

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

121957362476928 is a wasteful number, since it uses less digits than its factorization.

121957362476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418441817 (or 418441802 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 121957362476928 in words is "one hundred twenty-one trillion, nine hundred fifty-seven billion, three hundred sixty-two million, four hundred seventy-six thousand, nine hundred twenty-eight".