12976128 has 108 divisors (see below), whose sum is σ = 40894308. Its totient is φ = 3932160.

The previous prime is 12976121. The next prime is 12976141. The reversal of 12976128 is 82167921.

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

Its product of digits (12096) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12976092 and 12976101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12976121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179643 + ... + 1179653.

It is an arithmetic number, because the mean of its divisors is an integer number (378651).

Almost surely, 2^12976128 is an apocalyptic number.

12976128 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 12976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447154).

12976128 is an abundant number, since it is smaller than the sum of its proper divisors (27918180).

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

12976128 is an frugal number, since it uses more digits than its factorization.

12976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 16 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12976128 is about 3602.2393035444. The cubic root of 12976128 is about 234.9894547856.

The spelling of 12976128 in words is "twelve million, nine hundred seventy-six thousand, one hundred twenty-eight".