12140800 has 108 divisors (see below), whose sum is σ = 34470016. Its totient is φ = 4147200.

The previous prime is 12140759. The next prime is 12140813. The reversal of 12140800 is 804121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44665 + ... + 44935.

Almost surely, 2^12140800 is an apocalyptic number.

12140800 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 12140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235008).

12140800 is an abundant number, since it is smaller than the sum of its proper divisors (22329216).

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

12140800 is an equidigital number, since it uses as much as digits as its factorization.

12140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 12140800 is about 3484.3650784612. The cubic root of 12140800 is about 229.8347899900.

Adding to 12140800 its reverse (804121), we get a palindrome (12944921).

The spelling of 12140800 in words is "twelve million, one hundred forty thousand, eight hundred".