12102800 has 60 divisors (see below), whose sum is σ = 29521920. Its totient is φ = 4767360.

The previous prime is 12102799. The next prime is 12102821. The reversal of 12102800 is 820121.

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, 31409 + ... + 31791.

It is an arithmetic number, because the mean of its divisors is an integer number (492032).

Almost surely, 2^12102800 is an apocalyptic number.

12102800 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 12102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760960).

12102800 is an abundant number, since it is smaller than the sum of its proper divisors (17419120).

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

12102800 is a wasteful number, since it uses less digits than its factorization.

12102800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 12102800 is about 3478.9078746066. The cubic root of 12102800 is about 229.5947495228.

Adding to 12102800 its reverse (820121), we get a palindrome (12922921).

The spelling of 12102800 in words is "twelve million, one hundred two thousand, eight hundred".