121315544064 has 792 divisors, whose sum is σ = 423790606512. Its totient is φ = 33124515840.

The previous prime is 121315544047. The next prime is 121315544099. The reversal of 121315544064 is 460445513121.

121315544064 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 554 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×121315544064² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1250675664 + ... + 1250675760.

Almost surely, 2^121315544064 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 121315544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211895303256).

121315544064 is an abundant number, since it is smaller than the sum of its proper divisors (302475062448).

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

121315544064 is a wasteful number, since it uses less digits than its factorization.

121315544064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 121315544064 in words is "one hundred twenty-one billion, three hundred fifteen million, five hundred forty-four thousand, sixty-four".