121657412698560 has 336 divisors, whose sum is σ = 421437328588224. Its totient is φ = 32210941722624.

The previous prime is 121657412698519. The next prime is 121657412698673. The reversal of 121657412698560 is 65896214756121.

It is a happy number.

121657412698560 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 5 + 7 + 4 + 1 + 2 + 69 + 8 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370028004 + ... + 370356636.

Almost surely, 2^{121657412698560} is an apocalyptic number.

121657412698560 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 121657412698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210718664294112).

121657412698560 is an abundant number, since it is smaller than the sum of its proper divisors (299779915889664).

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

121657412698560 is a wasteful number, since it uses less digits than its factorization.

121657412698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329572 (or 329559 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 121657412698560 in words is "one hundred twenty-one trillion, six hundred fifty-seven billion, four hundred twelve million, six hundred ninety-eight thousand, five hundred sixty".