12114400 has 72 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 4584960.

The previous prime is 12114367. The next prime is 12114407. The reversal of 12114400 is 441121.

12114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12114400³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114407) 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, 14802 + ... + 15598.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 2^12114400 is an apocalyptic number.

12114400 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 12114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

12114400 is an abundant number, since it is smaller than the sum of its proper divisors (19055480).

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

12114400 is a wasteful number, since it uses less digits than its factorization.

12114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12114400 is about 3480.5746651954. The cubic root of 12114400 is about 229.6680782473.

Adding to 12114400 its reverse (441121), we get a palindrome (12555521).

It can be divided in two parts, 121 and 14400, that multiplied together give a square (1742400 = 1320²).

The spelling of 12114400 in words is "twelve million, one hundred fourteen thousand, four hundred".