12247200 has 288 divisors, whose sum is σ = 51246720. Its totient is φ = 2799360.

The previous prime is 12247199. The next prime is 12247211. The reversal of 12247200 is 274221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749597 + ... + 1749603.

It is an arithmetic number, because the mean of its divisors is an integer number (177940).

Almost surely, 2^12247200 is an apocalyptic number.

12247200 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 12247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623360).

12247200 is an abundant number, since it is smaller than the sum of its proper divisors (38999520).

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

12247200 is an frugal number, since it uses more digits than its factorization.

12247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12247200 is about 3499.5999771402. The cubic root of 12247200 is about 230.5042496977.

The spelling of 12247200 in words is "twelve million, two hundred forty-seven thousand, two hundred".