121678091264 has 132 divisors (see below), whose sum is σ = 250577634204. Its totient is φ = 59043741696.

The previous prime is 121678091177. The next prime is 121678091281. The reversal of 121678091264 is 462190876121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5947494400 + 115730596864 = 77120^2 + 340192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703341482 + ... + 703341654.

Almost surely, 2^121678091264 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 121678091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125288817102).

121678091264 is an abundant number, since it is smaller than the sum of its proper divisors (128899542940).

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

121678091264 is an frugal number, since it uses more digits than its factorization.

121678091264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 121678091264 in words is "one hundred twenty-one billion, six hundred seventy-eight million, ninety-one thousand, two hundred sixty-four".