121490307764000 has 768 divisors, whose sum is σ = 368938528358400. Its totient is φ = 39165880320000.

The previous prime is 121490307763987. The next prime is 121490307764011. The reversal of 121490307764000 is 467703094121.

It is a happy number.

121490307764000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34309602230 + ... + 34309605770.

It is an arithmetic number, because the mean of its divisors is an integer number (480388708800).

Almost surely, 2^{121490307764000} is an apocalyptic number.

121490307764000 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 121490307764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184469264179200).

121490307764000 is an abundant number, since it is smaller than the sum of its proper divisors (247448220594400).

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

121490307764000 is a wasteful number, since it uses less digits than its factorization.

121490307764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 121490307764000 in words is "one hundred twenty-one trillion, four hundred ninety billion, three hundred seven million, seven hundred sixty-four thousand".