12612257 has 36 divisors (see below), whose sum is σ = 16678656. Its totient is φ = 9480240.

The previous prime is 12612241. The next prime is 12612277. The reversal of 12612257 is 75221621.

It is not a de Polignac number, because 12612257 - 2⁴ = 12612241 is a prime.

It is a super-3 number, since 3×12612257³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1680) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12612217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 406832 + ... + 406862.

It is an arithmetic number, because the mean of its divisors is an integer number (463296).

Almost surely, 2^12612257 is an apocalyptic number.

It is an amenable number.

12612257 is a deficient number, since it is larger than the sum of its proper divisors (4066399).

12612257 is a wasteful number, since it uses less digits than its factorization.

12612257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 12612257 is about 3551.3739594698. The cubic root of 12612257 is about 232.7721067438.

Adding to 12612257 its reverse (75221621), we get a palindrome (87833878).

The spelling of 12612257 in words is "twelve million, six hundred twelve thousand, two hundred fifty-seven".