12835200 has 192 divisors, whose sum is σ = 48568320. Its totient is φ = 2918400.

The previous prime is 12835177. The next prime is 12835201. The reversal of 12835200 is 253821.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12835201) 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, 67105 + ... + 67295.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 2^12835200 is an apocalyptic number.

12835200 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 12835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

12835200 is an abundant number, since it is smaller than the sum of its proper divisors (35733120).

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

12835200 is a wasteful number, since it uses less digits than its factorization.

12835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12835200 is about 3582.6247361397. The cubic root of 12835200 is about 234.1356507653.

The spelling of 12835200 in words is "twelve million, eight hundred thirty-five thousand, two hundred".