12673200 has 120 divisors (see below), whose sum is σ = 41515200. Its totient is φ = 3303680.

The previous prime is 12673189. The next prime is 12673249. The reversal of 12673200 is 237621.

Added to its reverse (237621) it gives a triangular number (12910821 = T₅₀₈₁).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70711 + ... + 70889.

It is an arithmetic number, because the mean of its divisors is an integer number (345960).

Almost surely, 2^12673200 is an apocalyptic number.

12673200 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 12673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757600).

12673200 is an abundant number, since it is smaller than the sum of its proper divisors (28842000).

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

12673200 is a wasteful number, since it uses less digits than its factorization.

12673200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 12673200 is about 3559.9438197814. The cubic root of 12673200 is about 233.1464262855.

Adding to 12673200 its reverse (237621), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12673200 in words is "twelve million, six hundred seventy-three thousand, two hundred".