12261200 has 120 divisors (see below), whose sum is σ = 35057280. Its totient is φ = 4032000.

The previous prime is 12261187. The next prime is 12261211. The reversal of 12261200 is 216221.

12261200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 81125 + ... + 81275.

It is an arithmetic number, because the mean of its divisors is an integer number (292144).

Almost surely, 2^12261200 is an apocalyptic number.

12261200 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 12261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528640).

12261200 is an abundant number, since it is smaller than the sum of its proper divisors (22796080).

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

12261200 is a wasteful number, since it uses less digits than its factorization.

12261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12261200 is about 3501.5996344528. The cubic root of 12261200 is about 230.5920474703.

Adding to 12261200 its reverse (216221), we get a palindrome (12477421).

The spelling of 12261200 in words is "twelve million, two hundred sixty-one thousand, two hundred".