12707200 has 144 divisors (see below), whose sum is σ = 36141660. Its totient is φ = 4377600.

The previous prime is 12707147. The next prime is 12707237. The reversal of 12707200 is 270721.

It is a super-2 number, since 2×12707200² = 322945863680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 668791 + ... + 668809.

Almost surely, 2^12707200 is an apocalyptic number.

12707200 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 12707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070830).

12707200 is an abundant number, since it is smaller than the sum of its proper divisors (23434460).

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

12707200 is a wasteful number, since it uses less digits than its factorization.

12707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 12707200 is about 3564.7159774658. The cubic root of 12707200 is about 233.3547372656.

Adding to 12707200 its reverse (270721), we get a palindrome (12977921).

The spelling of 12707200 in words is "twelve million, seven hundred seven thousand, two hundred".