121249520784000 has 3840 divisors, whose sum is σ = 572711201187840. Its totient is φ = 25235546112000.

The previous prime is 121249520783977. The next prime is 121249520784019. The reversal of 121249520784000 is 487025942121.

121249520784000 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 49 + 520 + 7 + 84 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33466606189 + ... + 33466609811.

It is an arithmetic number, because the mean of its divisors is an integer number (149143541976).

Almost surely, 2^{121249520784000} is an apocalyptic number.

121249520784000 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 121249520784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286355600593920).

121249520784000 is an abundant number, since it is smaller than the sum of its proper divisors (451461680403840).

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

121249520784000 is a wasteful number, since it uses less digits than its factorization.

121249520784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 121249520784000 in words is "one hundred twenty-one trillion, two hundred forty-nine billion, five hundred twenty million, seven hundred eighty-four thousand".