121759163904 has 240 divisors, whose sum is σ = 377942046768. Its totient is φ = 34732228608.

The previous prime is 121759163899. The next prime is 121759163917. The reversal of 121759163904 is 409361957121.

It is a super-2 number, since 2×121759163904² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76241634 + ... + 76243230.

Almost surely, 2^121759163904 is an apocalyptic number.

121759163904 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 121759163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188971023384).

121759163904 is an abundant number, since it is smaller than the sum of its proper divisors (256182882864).

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

121759163904 is a wasteful number, since it uses less digits than its factorization.

121759163904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 121759163904 in words is "one hundred twenty-one billion, seven hundred fifty-nine million, one hundred sixty-three thousand, nine hundred four".