121535866368 has 320 divisors, whose sum is σ = 412015296000. Its totient is φ = 34651348992.

The previous prime is 121535866363. The next prime is 121535866379. The reversal of 121535866368 is 863668535121.

It is a happy number.

121535866368 is a `hidden beast` number, since 1 + 2 + 1 + 53 + 586 + 6 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×121535866368² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121535866363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59898378 + ... + 59900406.

It is an arithmetic number, because the mean of its divisors is an integer number (1287547800).

Almost surely, 2^121535866368 is an apocalyptic number.

121535866368 is a gapful number since it is divisible by the number (18) 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 121535866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206007648000).

121535866368 is an abundant number, since it is smaller than the sum of its proper divisors (290479429632).

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

121535866368 is an equidigital number, since it uses as much as digits as its factorization.

121535866368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2660 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 121535866368 in words is "one hundred twenty-one billion, five hundred thirty-five million, eight hundred sixty-six thousand, three hundred sixty-eight".