121075366464 has 448 divisors, whose sum is σ = 404632972800. Its totient is φ = 35220455424.

The previous prime is 121075366457. The next prime is 121075366483. The reversal of 121075366464 is 464663570121.

121075366464 is a `hidden beast` number, since 1 + 2 + 107 + 536 + 6 + 4 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45982492 + ... + 45985124.

It is an arithmetic number, because the mean of its divisors is an integer number (903198600).

Almost surely, 2^121075366464 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 121075366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202316486400).

121075366464 is an abundant number, since it is smaller than the sum of its proper divisors (283557606336).

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

121075366464 is a wasteful number, since it uses less digits than its factorization.

121075366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 121075366464 in words is "one hundred twenty-one billion, seventy-five million, three hundred sixty-six thousand, four hundred sixty-four".