12979200 has 198 divisors, whose sum is σ = 46450524. Its totient is φ = 3194880.

The previous prime is 12979159. The next prime is 12979237. The reversal of 12979200 is 297921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 998394 + ... + 998406.

Almost surely, 2^12979200 is an apocalyptic number.

12979200 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 12979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23225262).

12979200 is an abundant number, since it is smaller than the sum of its proper divisors (33471324).

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

12979200 is a wasteful number, since it uses less digits than its factorization.

12979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 12979200 is about 3602.6656797433. The cubic root of 12979200 is about 235.0079973135.

The spelling of 12979200 in words is "twelve million, nine hundred seventy-nine thousand, two hundred".