122893431804361 has 9 divisors (see below), whose sum is σ = 123335457654279. Its totient is φ = 122452984626000.

The previous prime is 122893431804251. The next prime is 122893431804383. The reversal of 122893431804361 is 163408134398221.

The square root of 122893431804361 is 11085731.

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

It can be written as a sum of positive squares in only one way, i.e., 83050067938761 + 39843363865600 = 9113181^2 + 6312160^2 .

It is not a de Polignac number, because 122893431804361 - 2¹¹ = 122893431802313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122893431804161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3115070686 + ... + 3115110136.

Almost surely, 2^{122893431804361} is an apocalyptic number.

122893431804361 is the 11085731-st square number.

122893431804361 is the 5542866-th centered octagonal number.

It is an amenable number.

122893431804361 is a deficient number, since it is larger than the sum of its proper divisors (442025849918).

122893431804361 is an frugal number, since it uses more digits than its factorization.

122893431804361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79464 (or 39732 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 122893431804361 in words is "one hundred twenty-two trillion, eight hundred ninety-three billion, four hundred thirty-one million, eight hundred four thousand, three hundred sixty-one".