12102400 has 108 divisors (see below), whose sum is σ = 31428544. Its totient is φ = 4608000.

The previous prime is 12102383. The next prime is 12102401. The reversal of 12102400 is 420121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12102401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198370 + ... + 198430.

Almost surely, 2^12102400 is an apocalyptic number.

12102400 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 12102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714272).

12102400 is an abundant number, since it is smaller than the sum of its proper divisors (19326144).

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

12102400 is an equidigital number, since it uses as much as digits as its factorization.

12102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12102400 is about 3478.8503848254. The cubic root of 12102400 is about 229.5922201106.

Adding to 12102400 its reverse (420121), we get a palindrome (12522521).

The spelling of 12102400 in words is "twelve million, one hundred two thousand, four hundred".