122213025 has 81 divisors (see below), whose sum is σ = 244250643. Its totient is φ = 58370400.

The previous prime is 122213011. The next prime is 122213027. The reversal of 122213025 is 520312221.

The square root of 122213025 is 11055.

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., 43996689 + 78216336 = 6633^2 + 8844^2 .

It is not a de Polignac number, because 122213025 - 2¹³ = 122204833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122212989 and 122213007.

It is not an unprimeable number, because it can be changed into a prime (122213027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1824042 + ... + 1824108.

Almost surely, 2^122213025 is an apocalyptic number.

122213025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122213025 is the 11055-th square number.

122213025 is the 5528-th centered octagonal number.

It is an amenable number.

122213025 is a deficient number, since it is larger than the sum of its proper divisors (122037618).

122213025 is a wasteful number, since it uses less digits than its factorization.

122213025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 122213025 is about 496.2560692704.

Adding to 122213025 its reverse (520312221), we get a palindrome (642525246).

The spelling of 122213025 in words is "one hundred twenty-two million, two hundred thirteen thousand, twenty-five".