121075820064 has 96 divisors (see below), whose sum is σ = 358408693440. Its totient is φ = 39756220416.

The previous prime is 121075820059. The next prime is 121075820069. The reversal of 121075820064 is 460028570121.

121075820064 is a `hidden beast` number, since 1 + 2 + 10 + 7 + 582 + 0 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (121075820059) and next prime (121075820069).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (121075820069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987889 + ... + 1103664.

It is an arithmetic number, because the mean of its divisors is an integer number (3733423890).

Almost surely, 2^121075820064 is an apocalyptic number.

It is an amenable number.

121075820064 is an abundant number, since it is smaller than the sum of its proper divisors (237332873376).

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

121075820064 is a wasteful number, since it uses less digits than its factorization.

121075820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091639 (or 2091625 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 121075820064 in words is "one hundred twenty-one billion, seventy-five million, eight hundred twenty thousand, sixty-four".