14101200 has 90 divisors (see below), whose sum is σ = 48947574. Its totient is φ = 3759360.

The previous prime is 14101193. The next prime is 14101201. The reversal of 14101200 is 210141.

It is a happy number.

14101200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2322576 + 11778624 = 1524^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1642 + ... + 5558.

Almost surely, 2^14101200 is an apocalyptic number.

14101200 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 14101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24473787).

14101200 is an abundant number, since it is smaller than the sum of its proper divisors (34846374).

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

14101200 is a wasteful number, since it uses less digits than its factorization.

14101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 14101200 is about 3755.1564547965. The cubic root of 14101200 is about 241.5935622453.

Adding to 14101200 its reverse (210141), we get a palindrome (14311341).

The spelling of 14101200 in words is "fourteen million, one hundred one thousand, two hundred".