122257249 has 3 divisors (see below), whose sum is σ = 122268307. Its totient is φ = 122246192.

The previous prime is 122257231. The next prime is 122257271. The reversal of 122257249 is 942752221.

It is a happy number.

The square root of 122257249 is 11057.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 22896225 + 99361024 = 4785^2 + 9968^2 .

It is not a de Polignac number, because 122257249 - 2⁹ = 122256737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122257279) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5529 + ... + 16585.

Almost surely, 2^122257249 is an apocalyptic number.

122257249 is the 11057-th square number.

122257249 is the 5529-th centered octagonal number.

It is an amenable number.

122257249 is a deficient number, since it is larger than the sum of its proper divisors (11058).

122257249 is an frugal number, since it uses more digits than its factorization.

122257249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22114 (or 11057 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The cubic root of 122257249 is about 496.3159204517.

The spelling of 122257249 in words is "one hundred twenty-two million, two hundred fifty-seven thousand, two hundred forty-nine".