12942900 has 108 divisors (see below), whose sum is σ = 41333292. Its totient is φ = 3386880.

The previous prime is 12942893. The next prime is 12942901. The reversal of 12942900 is 924921.

It can be written as a sum of positive squares in 6 ways, for example, as 580644 + 12362256 = 762^2 + 3516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12942901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65602 + ... + 65798.

Almost surely, 2^12942900 is an apocalyptic number.

12942900 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 12942900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20666646).

12942900 is an abundant number, since it is smaller than the sum of its proper divisors (28390392).

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

12942900 is a wasteful number, since it uses less digits than its factorization.

12942900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12942900 is about 3597.6242160626. The cubic root of 12942900 is about 234.7887039928.

The spelling of 12942900 in words is "twelve million, nine hundred forty-two thousand, nine hundred".