121752382366080 has 384 divisors, whose sum is σ = 443387358086400. Its totient is φ = 31917006305280.

The previous prime is 121752382366073. The next prime is 121752382366091. The reversal of 121752382366080 is 80663283257121.

121752382366080 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 5 + 2 + 3 + 8 + 23 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×121752382366080² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2541165 + ... + 15810195.

It is an arithmetic number, because the mean of its divisors is an integer number (1154654578350).

Almost surely, 2^{121752382366080} is an apocalyptic number.

121752382366080 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 121752382366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221693679043200).

121752382366080 is an abundant number, since it is smaller than the sum of its proper divisors (321634975720320).

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

121752382366080 is an equidigital number, since it uses as much as digits as its factorization.

121752382366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13269124 (or 13269100 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 121752382366080 in words is "one hundred twenty-one trillion, seven hundred fifty-two billion, three hundred eighty-two million, three hundred sixty-six thousand, eighty".