12976100 has 54 divisors (see below), whose sum is σ = 29978550. Its totient is φ = 4874240.

The previous prime is 12976099. The next prime is 12976109. The reversal of 12976100 is 167921.

It can be written as a sum of positive squares in 9 ways, for example, as 430336 + 12545764 = 656^2 + 3542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12976100.

It is not an unprimeable number, because it can be changed into a prime (12976109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28676 + ... + 29124.

Almost surely, 2^12976100 is an apocalyptic number.

12976100 is a gapful number since it is divisible by the number (10) 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 12976100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989275).

12976100 is an abundant number, since it is smaller than the sum of its proper divisors (17002450).

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

12976100 is a wasteful number, since it uses less digits than its factorization.

12976100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 12976100 is about 3602.2354170709. The cubic root of 12976100 is about 234.9892857647.

The spelling of 12976100 in words is "twelve million, nine hundred seventy-six thousand, one hundred".