122797603262464 has 351 divisors, whose sum is σ = 281040561168579. Its totient is φ = 53616284467200.

The previous prime is 122797603262401. The next prime is 122797603262497. The reversal of 122797603262464 is 464262306797221.

The square root of 122797603262464 is 11081408.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26948505600 + 122770654756864 = 164160^2 + 11080192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175174897314 + ... + 175174898014.

Almost surely, 2^{122797603262464} is an apocalyptic number.

122797603262464 is the 11081408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122797603262464

122797603262464 is an abundant number, since it is smaller than the sum of its proper divisors (158242957906115).

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

122797603262464 is an frugal number, since it uses more digits than its factorization.

122797603262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 61.

The spelling of 122797603262464 in words is "one hundred twenty-two trillion, seven hundred ninety-seven billion, six hundred three million, two hundred sixty-two thousand, four hundred sixty-four".