121679490816 has 180 divisors, whose sum is σ = 390736799992. Its totient is φ = 37439760384.

The previous prime is 121679490791. The next prime is 121679490841. The reversal of 121679490816 is 618094976121.

121679490816 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 79 + 490 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (121679490791) and next prime (121679490841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43875 + ... + 495261.

Almost surely, 2^121679490816 is an apocalyptic number.

121679490816 is a gapful number since it is divisible by the number (16) 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 121679490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195368399996).

121679490816 is an abundant number, since it is smaller than the sum of its proper divisors (269057309176).

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

121679490816 is an equidigital number, since it uses as much as digits as its factorization.

121679490816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451428 (or 451405 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 121679490816 in words is "one hundred twenty-one billion, six hundred seventy-nine million, four hundred ninety thousand, eight hundred sixteen".