12988900 has 36 divisors (see below), whose sum is σ = 28374052. Its totient is φ = 5160960.

The previous prime is 12988891. The next prime is 12988931. The reversal of 12988900 is 988921.

It can be written as a sum of positive squares in 6 ways, for example, as 1658944 + 11329956 = 1288^2 + 3366^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12988900.

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 11 ways as a sum of consecutive naturals, for example, 18964 + ... + 19636.

Almost surely, 2^12988900 is an apocalyptic number.

12988900 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 12988900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14187026).

12988900 is an abundant number, since it is smaller than the sum of its proper divisors (15385152).

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

12988900 is a wasteful number, since it uses less digits than its factorization.

12988900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 12988900 is about 3604.0116536992. The cubic root of 12988900 is about 235.0665271132.

The spelling of 12988900 in words is "twelve million, nine hundred eighty-eight thousand, nine hundred".