121974727680000 has 840 divisors, whose sum is σ = 474167758612548. Its totient is φ = 30024400896000.

The previous prime is 121974727679999. The next prime is 121974727680011. The reversal of 121974727680000 is 86727479121.

121974727680000 is a `hidden beast` number, since 1 + 2 + 1 + 97 + 472 + 7 + 6 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 33113487642624 + 88861240037376 = 5754432^2 + 9426624^2 .

It is a super-2 number, since 2×121974727680000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 598938192 + ... + 599141808.

Almost surely, 2^{121974727680000} is an apocalyptic number.

121974727680000 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 121974727680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237083879306274).

121974727680000 is an abundant number, since it is smaller than the sum of its proper divisors (352193030932548).

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

121974727680000 is an equidigital number, since it uses as much as digits as its factorization.

121974727680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203682 (or 203640 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 121974727680000 in words is "one hundred twenty-one trillion, nine hundred seventy-four billion, seven hundred twenty-seven million, six hundred eighty thousand".