121588096464 has 160 divisors (see below), whose sum is σ = 350632320000. Its totient is φ = 40340716416.

The previous prime is 121588096451. The next prime is 121588096501. The reversal of 121588096464 is 464690885121.

121588096464 is a `hidden beast` number, since 1 + 2 + 15 + 8 + 80 + 96 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 121588096464.

It is a congruent number.

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, 141545667 + ... + 141546525.

It is an arithmetic number, because the mean of its divisors is an integer number (2191452000).

Almost surely, 2^121588096464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121588096464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175316160000).

121588096464 is an abundant number, since it is smaller than the sum of its proper divisors (229044223536).

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

121588096464 is a wasteful number, since it uses less digits than its factorization.

121588096464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 121588096464 in words is "one hundred twenty-one billion, five hundred eighty-eight million, ninety-six thousand, four hundred sixty-four".