12877152 has 48 divisors (see below), whose sum is σ = 34900992. Its totient is φ = 4152960.

The previous prime is 12877097. The next prime is 12877159. The reversal of 12877152 is 25177821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12877152² = 331642087262208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12877159) 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 7 ways as a sum of consecutive naturals, for example, 813 + ... + 5139.

It is an arithmetic number, because the mean of its divisors is an integer number (727104).

Almost surely, 2^12877152 is an apocalyptic number.

12877152 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 12877152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450496).

12877152 is an abundant number, since it is smaller than the sum of its proper divisors (22023840).

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

12877152 is a wasteful number, since it uses less digits than its factorization.

12877152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4363 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 12877152 is about 3588.4748849616. The cubic root of 12877152 is about 234.3904650418.

The spelling of 12877152 in words is "twelve million, eight hundred seventy-seven thousand, one hundred fifty-two".