12956112 has 100 divisors (see below), whose sum is σ = 40435780. Its totient is φ = 3981312.

The previous prime is 12956101. The next prime is 12956117. The reversal of 12956112 is 21165921.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 9585216 = 1836^2 + 3096^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12956117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16464 + ... + 17232.

Almost surely, 2^12956112 is an apocalyptic number.

12956112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12956112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217890).

12956112 is an abundant number, since it is smaller than the sum of its proper divisors (27479668).

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

12956112 is a wasteful number, since it uses less digits than its factorization.

12956112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 787 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 12956112 is about 3599.4599594939. The cubic root of 12956112 is about 234.8685669150.

The spelling of 12956112 in words is "twelve million, nine hundred fifty-six thousand, one hundred twelve".