121648642560 has 320 divisors, whose sum is σ = 446052879360. Its totient is φ = 31392645120.

The previous prime is 121648642547. The next prime is 121648642613. The reversal of 121648642560 is 65246846121.

It is a happy number.

121648642560 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 4 + 86 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2114334 + ... + 2171106.

It is an arithmetic number, because the mean of its divisors is an integer number (1393915248).

Almost surely, 2^121648642560 is an apocalyptic number.

121648642560 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 121648642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223026439680).

121648642560 is an abundant number, since it is smaller than the sum of its proper divisors (324404236800).

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

121648642560 is an equidigital number, since it uses as much as digits as its factorization.

121648642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56836 (or 56814 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 121648642560 in words is "one hundred twenty-one billion, six hundred forty-eight million, six hundred forty-two thousand, five hundred sixty".