12551200 has 72 divisors (see below), whose sum is σ = 31755780. Its totient is φ = 4838400.

The previous prime is 12551197. The next prime is 12551213. The reversal of 12551200 is 215521.

It can be written as a sum of positive squares in 6 ways, for example, as 4048144 + 8503056 = 2012^2 + 2916^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22930 + ... + 23470.

Almost surely, 2^12551200 is an apocalyptic number.

12551200 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 12551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877890).

12551200 is an abundant number, since it is smaller than the sum of its proper divisors (19204580).

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

12551200 is a wasteful number, since it uses less digits than its factorization.

12551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 12551200 is about 3542.7672799663. The cubic root of 12551200 is about 232.3958758327.

Adding to 12551200 its reverse (215521), we get a palindrome (12766721).

The spelling of 12551200 in words is "twelve million, five hundred fifty-one thousand, two hundred".