121235766048000 has 1728 divisors, whose sum is σ = 470347868390400. Its totient is φ = 29888505446400.

The previous prime is 121235766047939. The next prime is 121235766048029. The reversal of 121235766048000 is 840667532121.

121235766048000 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 35 + 7 + 6 + 604 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×121235766048000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157653791616 + ... + 157653792384.

Almost surely, 2^{121235766048000} is an apocalyptic number.

121235766048000 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 121235766048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235173934195200).

121235766048000 is an abundant number, since it is smaller than the sum of its proper divisors (349112102342400).

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

121235766048000 is a wasteful number, since it uses less digits than its factorization.

121235766048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 121235766048000 in words is "one hundred twenty-one trillion, two hundred thirty-five billion, seven hundred sixty-six million, forty-eight thousand".