121648713984 has 324 divisors, whose sum is σ = 421181080320. Its totient is φ = 33634621440.

The previous prime is 121648713973. The next prime is 121648714007. The reversal of 121648713984 is 489317846121.

121648713984 is a `hidden beast` number, since 1 + 21 + 6 + 487 + 139 + 8 + 4 = 666.

It is a super-2 number, since 2×121648713984² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121648713984.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3482397 + ... + 3517155.

Almost surely, 2^121648713984 is an apocalyptic number.

121648713984 is a gapful number since it is divisible by the number (14) 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 121648713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210590540160).

121648713984 is an abundant number, since it is smaller than the sum of its proper divisors (299532366336).

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

121648713984 is a wasteful number, since it uses less digits than its factorization.

121648713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34826 (or 34802 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 121648713984 in words is "one hundred twenty-one billion, six hundred forty-eight million, seven hundred thirteen thousand, nine hundred eighty-four".