121752333812736 has 1287 divisors, whose sum is σ = 410833775725023. Its totient is φ = 36036631572480.

The previous prime is 121752333812713. The next prime is 121752333812771. The reversal of 121752333812736 is 637218333257121.

The square root of 121752333812736 is 11034144.

It is a perfect power (a square), and thus also a powerful number.

121752333812736 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 5 + 233 + 381 + 27 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 2831449623531 + ... + 2831449623573.

Almost surely, 2^{121752333812736} is an apocalyptic number.

121752333812736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121752333812736 is the 11034144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121752333812736

121752333812736 is an abundant number, since it is smaller than the sum of its proper divisors (289081441912287).

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

121752333812736 is an frugal number, since it uses more digits than its factorization.

121752333812736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 59 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 121752333812736 in words is "one hundred twenty-one trillion, seven hundred fifty-two billion, three hundred thirty-three million, eight hundred twelve thousand, seven hundred thirty-six".