121045500276624 has 1365 divisors, whose sum is σ = 451121868575371. Its totient is φ = 31440389682240.

The previous prime is 121045500276557. The next prime is 121045500276661. The reversal of 121045500276624 is 426672005540121.

The square root of 121045500276624 is 11002068.

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

121045500276624 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 4 + 550 + 0 + 2 + 76 + 6 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121045500276624.

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 272 ways as a sum of consecutive naturals, for example, 11004136388779 + ... + 11004136388789.

Almost surely, 2^{121045500276624} is an apocalyptic number.

121045500276624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121045500276624 is the 11002068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121045500276624

121045500276624 is an abundant number, since it is smaller than the sum of its proper divisors (330076368298747).

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

121045500276624 is an frugal number, since it uses more digits than its factorization.

121045500276624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 121045500276624 in words is "one hundred twenty-one trillion, forty-five billion, five hundred million, two hundred seventy-six thousand, six hundred twenty-four".