121683640320 has 816 divisors, whose sum is σ = 478952308224. Its totient is φ = 28547481600.

The previous prime is 121683640303. The next prime is 121683640327. The reversal of 121683640320 is 23046386121.

121683640320 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 8 + 3 + 640 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121683640327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3925278705 + ... + 3925278735.

Almost surely, 2^121683640320 is an apocalyptic number.

121683640320 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 121683640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239476154112).

121683640320 is an abundant number, since it is smaller than the sum of its proper divisors (357268667904).

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

121683640320 is an frugal number, since it uses more digits than its factorization.

121683640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 121683640320 in words is "one hundred twenty-one billion, six hundred eighty-three million, six hundred forty thousand, three hundred twenty".