121801763160 has 576 divisors, whose sum is σ = 499742680320. Its totient is φ = 24994897920.

The previous prime is 121801763141. The next prime is 121801763173. The reversal of 121801763160 is 61367108121.

121801763160 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 0 + 17 + 631 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 260817247 + ... + 260817713.

It is an arithmetic number, because the mean of its divisors is an integer number (867608820).

Almost surely, 2^121801763160 is an apocalyptic number.

121801763160 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 121801763160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249871340160).

121801763160 is an abundant number, since it is smaller than the sum of its proper divisors (377940917160).

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

121801763160 is a wasteful number, since it uses less digits than its factorization.

121801763160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 121801763160 in words is "one hundred twenty-one billion, eight hundred one million, seven hundred sixty-three thousand, one hundred sixty".