12957126 has 64 divisors (see below), whose sum is σ = 33600000. Its totient is φ = 3234816.

The previous prime is 12957121. The next prime is 12957137. The reversal of 12957126 is 62175921.

It is a super-2 number, since 2×12957126² = 335774228359752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12957121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9750 + ... + 10998.

It is an arithmetic number, because the mean of its divisors is an integer number (525000).

Almost surely, 2^12957126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12957126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800000).

12957126 is an abundant number, since it is smaller than the sum of its proper divisors (20642874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12957126 is a wasteful number, since it uses less digits than its factorization.

12957126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293.

The product of its digits is 7560, while the sum is 33.

The square root of 12957126 is about 3599.6008112012. The cubic root of 12957126 is about 234.8746940235.

The spelling of 12957126 in words is "twelve million, nine hundred fifty-seven thousand, one hundred twenty-six".