121405979520000 has 1760 divisors, whose sum is σ = 530052456919040. Its totient is φ = 26853949440000.

The previous prime is 121405979519989. The next prime is 121405979520011. The reversal of 121405979520000 is 25979504121.

121405979520000 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 59 + 79 + 520 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121405979519989) and next prime (121405979520011).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3749743812 + ... + 3749776188.

It is an arithmetic number, because the mean of its divisors is an integer number (301166168704).

Almost surely, 2^{121405979520000} is an apocalyptic number.

121405979520000 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 121405979520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265026228459520).

121405979520000 is an abundant number, since it is smaller than the sum of its proper divisors (408646477399040).

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

121405979520000 is an equidigital number, since it uses as much as digits as its factorization.

121405979520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32464 (or 32425 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 121405979520000 in words is "one hundred twenty-one trillion, four hundred five billion, nine hundred seventy-nine million, five hundred twenty thousand".