121756332096 has 567 divisors, whose sum is σ = 425843679807. Its totient is φ = 33162877440.

The previous prime is 121756332083. The next prime is 121756332097. The reversal of 121756332096 is 690233657121.

The square root of 121756332096 is 348936.

It is a perfect power (a square), and thus also a powerful number.

121756332096 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 5 + 633 + 2 + 0 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (121756332097) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1817258655 + ... + 1817258721.

Almost surely, 2^121756332096 is an apocalyptic number.

121756332096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121756332096 is the 348936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121756332096

121756332096 is an abundant number, since it is smaller than the sum of its proper divisors (304087347711).

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

121756332096 is an equidigital number, since it uses as much as digits as its factorization.

121756332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 121756332096 in words is "one hundred twenty-one billion, seven hundred fifty-six million, three hundred thirty-two thousand, ninety-six".