121313808000 has 1536 divisors, whose sum is σ = 568134777600. Its totient is φ = 25159680000.

The previous prime is 121313807999. The next prime is 121313808029. The reversal of 121313808000 is 808313121.

It is a super-2 number, since 2×121313808000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 232847740 + ... + 232848260.

Almost surely, 2^121313808000 is an apocalyptic number.

121313808000 is a gapful number since it is divisible by the number (10) 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 121313808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284067388800).

121313808000 is an abundant number, since it is smaller than the sum of its proper divisors (446820969600).

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

121313808000 is a wasteful number, since it uses less digits than its factorization.

121313808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 121313808000 in words is "one hundred twenty-one billion, three hundred thirteen million, eight hundred eight thousand".