14314221200 has 60 divisors (see below), whose sum is σ = 34460429808. Its totient is φ = 5713948800.

The previous prime is 14314221127. The next prime is 14314221203. The reversal of 14314221200 is 212241341.

It is a super-3 number, since 3×14314221200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14314221203) 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, 159959 + ... + 232841.

Almost surely, 2^14314221200 is an apocalyptic number.

14314221200 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 14314221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230214904).

14314221200 is an abundant number, since it is smaller than the sum of its proper divisors (20146208608).

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

14314221200 is a wasteful number, since it uses less digits than its factorization.

14314221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73392 (or 73381 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14314221200 its reverse (212241341), we get a palindrome (14526462541).

The spelling of 14314221200 in words is "fourteen billion, three hundred fourteen million, two hundred twenty-one thousand, two hundred".