12977152 has 88 divisors (see below), whose sum is σ = 29476800. Its totient is φ = 5677056.

The previous prime is 12977147. The next prime is 12977177. The reversal of 12977152 is 25177921.

It is a super-2 number, since 2×12977152² = 336812948062208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447474 + ... + 447502.

Almost surely, 2^12977152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738400).

12977152 is an abundant number, since it is smaller than the sum of its proper divisors (16499648).

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

12977152 is a wasteful number, since it uses less digits than its factorization.

12977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its digits is 8820, while the sum is 34.

The square root of 12977152 is about 3602.3814345513. The cubic root of 12977152 is about 234.9956359534.

The spelling of 12977152 in words is "twelve million, nine hundred seventy-seven thousand, one hundred fifty-two".