14412100 has 36 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 5723680.

The previous prime is 14412091. The next prime is 14412103. The reversal of 14412100 is 121441.

It is not an unprimeable number, because it can be changed into a prime (14412103) 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 11 ways as a sum of consecutive naturals, for example, 16269 + ... + 17131.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^14412100 is an apocalyptic number.

14412100 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 14412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

14412100 is an abundant number, since it is smaller than the sum of its proper divisors (17085884).

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

14412100 is a wasteful number, since it uses less digits than its factorization.

14412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

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

The square root of 14412100 is about 3796.3271724128. The cubic root of 14412100 is about 243.3562039345.

Adding to 14412100 its reverse (121441), we get a palindrome (14533541).

It can be divided in two parts, 144 and 12100, that multiplied together give a square (1742400 = 1320²).

The spelling of 14412100 in words is "fourteen million, four hundred twelve thousand, one hundred".