12877128 has 96 divisors (see below), whose sum is σ = 38750400. Its totient is φ = 3830400.

The previous prime is 12877097. The next prime is 12877159. The reversal of 12877128 is 82177821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12877097) and next prime (12877159).

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

It is a junction number, because it is equal to n+sod(n) for n = 12877092 and 12877101.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56118 + ... + 56346.

It is an arithmetic number, because the mean of its divisors is an integer number (403650).

Almost surely, 2^12877128 is an apocalyptic number.

12877128 is a gapful number since it is divisible by the number (18) 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 12877128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375200).

12877128 is an abundant number, since it is smaller than the sum of its proper divisors (25873272).

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

12877128 is a wasteful number, since it uses less digits than its factorization.

12877128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 316 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 12877128 is about 3588.4715409210. The cubic root of 12877128 is about 234.3903194253.

The spelling of 12877128 in words is "twelve million, eight hundred seventy-seven thousand, one hundred twenty-eight".