121337685504 has 960 divisors, whose sum is σ = 454937757120. Its totient is φ = 31708938240.

The previous prime is 121337685499. The next prime is 121337685517. The reversal of 121337685504 is 405586733121.

It is a happy number.

121337685504 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 37 + 68 + 550 + 4 = 666.

It is a super-2 number, since 2×121337685504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121337685504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 472130944 + ... + 472131200.

It is an arithmetic number, because the mean of its divisors is an integer number (473893497).

Almost surely, 2^121337685504 is an apocalyptic number.

121337685504 is a gapful number since it is divisible by the number (14) 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 121337685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227468878560).

121337685504 is an abundant number, since it is smaller than the sum of its proper divisors (333600071616).

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

121337685504 is a wasteful number, since it uses less digits than its factorization.

121337685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 121337685504 in words is "one hundred twenty-one billion, three hundred thirty-seven million, six hundred eighty-five thousand, five hundred four".