122327249827225 has 81 divisors (see below), whose sum is σ = 159185448890013. Its totient is φ = 93247277820480.

The previous prime is 122327249827219. The next prime is 122327249827253. The reversal of 122327249827225 is 522728942723221.

The square root of 122327249827225 is 11060165.

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 1681454230681 + 120645795596544 = 1296709^2 + 10983888^2 .

It is not a de Polignac number, because 122327249827225 - 2¹⁷ = 122327249696153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122327249827225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133109085316 + ... + 133109086234.

Almost surely, 2^{122327249827225} is an apocalyptic number.

122327249827225 is the 11060165-th square number.

122327249827225 is the 5530083-rd centered octagonal number.

It is an amenable number.

122327249827225 is a deficient number, since it is larger than the sum of its proper divisors (36858199062788).

122327249827225 is an frugal number, since it uses more digits than its factorization.

122327249827225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 1036 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 58.

The spelling of 122327249827225 in words is "one hundred twenty-two trillion, three hundred twenty-seven billion, two hundred forty-nine million, eight hundred twenty-seven thousand, two hundred twenty-five".