121397760000 has 780 divisors, whose sum is σ = 479020164480. Its totient is φ = 29368320000.

The previous prime is 121397759999. The next prime is 121397760007. The reversal of 121397760000 is 67793121.

It is a happy number.

121397760000 is a `hidden beast` number, since 12 + 1 + 39 + 7 + 7 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×121397760000² (a number of 23 digits) contains 22 as substring.

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 (121397760007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 253439761 + ... + 253440239.

It is an arithmetic number, because the mean of its divisors is an integer number (614128416).

Almost surely, 2^121397760000 is an apocalyptic number.

121397760000 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 121397760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239510082240).

121397760000 is an abundant number, since it is smaller than the sum of its proper divisors (357622404480).

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

121397760000 is an equidigital number, since it uses as much as digits as its factorization.

121397760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 121397760000 in words is "one hundred twenty-one billion, three hundred ninety-seven million, seven hundred sixty thousand".