121557904920576 has 832 divisors, whose sum is σ = 402541125120000. Its totient is φ = 36024227463168.

The previous prime is 121557904920497. The next prime is 121557904920619. The reversal of 121557904920576 is 675029409755121.

It is a happy number.

121557904920576 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 5 + 7 + 90 + 492 + 0 + 57 + 6 = 666.

121557904920576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121557904920576³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12823911805 + ... + 12823921283.

Almost surely, 2^{121557904920576} is an apocalyptic number.

121557904920576 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 121557904920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201270562560000).

121557904920576 is an abundant number, since it is smaller than the sum of its proper divisors (280983220199424).

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

121557904920576 is a wasteful number, since it uses less digits than its factorization.

121557904920576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9907 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 121557904920576 in words is "one hundred twenty-one trillion, five hundred fifty-seven billion, nine hundred four million, nine hundred twenty thousand, five hundred seventy-six".