121405615056 has 240 divisors, whose sum is σ = 392831607168. Its totient is φ = 34592563200.

The previous prime is 121405615033. The next prime is 121405615091. The reversal of 121405615056 is 650516504121.

121405615056 is a `hidden beast` number, since 1 + 2 + 1 + 40 + 561 + 5 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121405615056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49734796 + ... + 49737236.

Almost surely, 2^121405615056 is an apocalyptic number.

121405615056 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 121405615056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196415803584).

121405615056 is an abundant number, since it is smaller than the sum of its proper divisors (271425992112).

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

121405615056 is a wasteful number, since it uses less digits than its factorization.

121405615056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 121405615056 in words is "one hundred twenty-one billion, four hundred five million, six hundred fifteen thousand, fifty-six".