12057136 has 80 divisors (see below), whose sum is σ = 29512000. Its totient is φ = 4769856.

The previous prime is 12057121. The next prime is 12057139. The reversal of 12057136 is 63175021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 12057136.

It is not an unprimeable number, because it can be changed into a prime (12057139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927466 + ... + 927478.

It is an arithmetic number, because the mean of its divisors is an integer number (368900).

Almost surely, 2^12057136 is an apocalyptic number.

12057136 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 12057136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756000).

12057136 is an abundant number, since it is smaller than the sum of its proper divisors (17454864).

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

12057136 is an frugal number, since it uses more digits than its factorization.

12057136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 12057136 is about 3472.3386931577. The cubic root of 12057136 is about 229.3056310809.

The spelling of 12057136 in words is "twelve million, fifty-seven thousand, one hundred thirty-six".