12220582682025 has 81 divisors (see below), whose sum is σ = 23253410324911. Its totient is φ = 6133805806080.

The previous prime is 12220582682017. The next prime is 12220582682029. The reversal of 12220582682025 is 52028628502221.

It is a happy number.

The square root of 12220582682025 is 3495795.

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

12220582682025 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 0 + 582 + 68 + 2 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 605627924841 + 11614954757184 = 778221^2 + 3408072^2 .

It is not a de Polignac number, because 12220582682025 - 2³ = 12220582682017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220582682029) 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, 891420871 + ... + 891434579.

Almost surely, 2^{12220582682025} is an apocalyptic number.

12220582682025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12220582682025 is the 3495795-th square number.

12220582682025 is the 1747898-th centered octagonal number.

It is an amenable number.

12220582682025 is a deficient number, since it is larger than the sum of its proper divisors (11032827642886).

12220582682025 is an frugal number, since it uses more digits than its factorization.

12220582682025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27468 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 12220582682025 in words is "twelve trillion, two hundred twenty billion, five hundred eighty-two million, six hundred eighty-two thousand, twenty-five".