12985056 has 192 divisors, whose sum is σ = 45964800. Its totient is φ = 3483648.

The previous prime is 12985051. The next prime is 12985057. The reversal of 12985056 is 65058921.

It is a happy number.

It is a super-2 number, since 2×12985056² = 337223358646272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12985056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12985051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114856 + ... + 114968.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 2^12985056 is an apocalyptic number.

12985056 is a gapful number since it is divisible by the number (16) 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 12985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

12985056 is an abundant number, since it is smaller than the sum of its proper divisors (32979744).

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

12985056 is a wasteful number, since it uses less digits than its factorization.

12985056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 12985056 is about 3603.4783196240. The cubic root of 12985056 is about 235.0433359042.

The spelling of 12985056 in words is "twelve million, nine hundred eighty-five thousand, fifty-six".