14400012 has 72 divisors (see below), whose sum is σ = 38162880. Its totient is φ = 4189920.

The previous prime is 14400011. The next prime is 14400017. The reversal of 14400012 is 21000441.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (14400011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244039 + ... + 244097.

It is an arithmetic number, because the mean of its divisors is an integer number (530040).

Almost surely, 2^14400012 is an apocalyptic number.

14400012 is a gapful number since it is divisible by the number (12) 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 14400012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081440).

14400012 is an abundant number, since it is smaller than the sum of its proper divisors (23762868).

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

14400012 is a wasteful number, since it uses less digits than its factorization.

14400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14400012 is about 3794.7347733406. The cubic root of 14400012 is about 243.2881474029.

Adding to 14400012 its reverse (21000441), we get a palindrome (35400453).

It can be divided in two parts, 144000 and 12, that multiplied together give a cube (1728000 = 120³).

The spelling of 14400012 in words is "fourteen million, four hundred thousand, twelve".