122824314369 has 27 divisors (see below), whose sum is σ = 178619255113. Its totient is φ = 81329845632.

The previous prime is 122824314359. The next prime is 122824314397. The reversal of 122824314369 is 963413428221.

The square root of 122824314369 is 350463.

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

122824314369 is a `hidden beast` number, since 1 + 2 + 282 + 4 + 3 + 1 + 4 + 369 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58135478769 + 64688835600 = 241113^2 + 254340^2 .

It is not a de Polignac number, because 122824314369 - 2²³ = 122815925761 is a prime.

It is a super-2 number, since 2×122824314369² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122824314359) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 207123337 + ... + 207123929.

Almost surely, 2^122824314369 is an apocalyptic number.

122824314369 is the 350463-rd square number.

122824314369 is the 175232-nd centered octagonal number.

It is an amenable number.

122824314369 is a deficient number, since it is larger than the sum of its proper divisors (55794940744).

122824314369 is an frugal number, since it uses more digits than its factorization.

122824314369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 122824314369 in words is "one hundred twenty-two billion, eight hundred twenty-four million, three hundred fourteen thousand, three hundred sixty-nine".