14412000 has 96 divisors (see below), whose sum is σ = 47253024. Its totient is φ = 3840000.

The previous prime is 14411977. The next prime is 14412017. The reversal of 14412000 is 21441.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11400 + ... + 12600.

It is an arithmetic number, because the mean of its divisors is an integer number (492219).

Almost surely, 2^14412000 is an apocalyptic number.

14412000 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 14412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23626512).

14412000 is an abundant number, since it is smaller than the sum of its proper divisors (32841024).

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

14412000 is a wasteful number, since it uses less digits than its factorization.

14412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1211 counting only the distinct ones).

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

The square root of 14412000 is about 3796.3140017654. The cubic root of 14412000 is about 243.3556410816.

Adding to 14412000 its reverse (21441), we get a palindrome (14433441).

It can be divided in two parts, 144 and 12000, that multiplied together give a cube (1728000 = 120³).

The spelling of 14412000 in words is "fourteen million, four hundred twelve thousand".