121752365076 has 72 divisors (see below), whose sum is σ = 326136381480. Its totient is φ = 38165200896.

The previous prime is 121752365029. The next prime is 121752365089. The reversal of 121752365076 is 670563257121.

It is a happy number.

121752365076 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 523 + 6 + 50 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21564922500 + 100187442576 = 146850^2 + 316524^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663070 + ... + 826538.

It is an arithmetic number, because the mean of its divisors is an integer number (4529671965).

Almost surely, 2^121752365076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121752365076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163068190740).

121752365076 is an abundant number, since it is smaller than the sum of its proper divisors (204384016404).

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

121752365076 is a wasteful number, since it uses less digits than its factorization.

121752365076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164713 (or 164708 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 121752365076 in words is "one hundred twenty-one billion, seven hundred fifty-two million, three hundred sixty-five thousand, seventy-six".