121294736640 has 1296 divisors, whose sum is σ = 545548243968. Its totient is φ = 24330240000.

The previous prime is 121294736639. The next prime is 121294736659. The reversal of 121294736640 is 46637492121.

121294736640 is a `hidden beast` number, since 12 + 129 + 473 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302480440 + ... + 302480840.

Almost surely, 2^121294736640 is an apocalyptic number.

121294736640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121294736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272774121984).

121294736640 is an abundant number, since it is smaller than the sum of its proper divisors (424253507328).

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

121294736640 is a wasteful number, since it uses less digits than its factorization.

121294736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 121294736640 in words is "one hundred twenty-one billion, two hundred ninety-four million, seven hundred thirty-six thousand, six hundred forty".