12135200 has 144 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 3763200.

The previous prime is 12135199. The next prime is 12135203. The reversal of 12135200 is 253121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12135203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61502 + ... + 61698.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^12135200 is an apocalyptic number.

12135200 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 12135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

12135200 is an abundant number, since it is smaller than the sum of its proper divisors (24987424).

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

12135200 is a wasteful number, since it uses less digits than its factorization.

12135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12135200 is about 3483.5613960428. The cubic root of 12135200 is about 229.7994471031.

Adding to 12135200 its reverse (253121), we get a palindrome (12388321).

The spelling of 12135200 in words is "twelve million, one hundred thirty-five thousand, two hundred".