121313912160 has 768 divisors, whose sum is σ = 487599243264. Its totient is φ = 24701140992.

The previous prime is 121313912131. The next prime is 121313912191. The reversal of 121313912160 is 61219313121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140571889 + ... + 140572751.

It is an arithmetic number, because the mean of its divisors is an integer number (634894848).

Almost surely, 2^121313912160 is an apocalyptic number.

121313912160 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 121313912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243799621632).

121313912160 is an abundant number, since it is smaller than the sum of its proper divisors (366285331104).

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

121313912160 is a wasteful number, since it uses less digits than its factorization.

121313912160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 121313912160 in words is "one hundred twenty-one billion, three hundred thirteen million, nine hundred twelve thousand, one hundred sixty".