121752363552 has 192 divisors, whose sum is σ = 340418018304. Its totient is φ = 38020561920.

The previous prime is 121752363547. The next prime is 121752363613. The reversal of 121752363552 is 255363257121.

It is a happy number.

121752363552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26774143 + ... + 26778689.

It is an arithmetic number, because the mean of its divisors is an integer number (1773010512).

Almost surely, 2^121752363552 is an apocalyptic number.

121752363552 is a gapful number since it is divisible by the number (12) 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 121752363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170209009152).

121752363552 is an abundant number, since it is smaller than the sum of its proper divisors (218665654752).

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

121752363552 is a wasteful number, since it uses less digits than its factorization.

121752363552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4823 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The spelling of 121752363552 in words is "one hundred twenty-one billion, seven hundred fifty-two million, three hundred sixty-three thousand, five hundred fifty-two".