14212211200 has 240 divisors, whose sum is σ = 38685800736. Its totient is φ = 5131468800.

The previous prime is 14212211149. The next prime is 14212211203. The reversal of 14212211200 is 211221241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14212211203) 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, 27174139 + ... + 27174661.

Almost surely, 2^14212211200 is an apocalyptic number.

14212211200 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 14212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342900368).

14212211200 is an abundant number, since it is smaller than the sum of its proper divisors (24473589536).

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

14212211200 is a wasteful number, since it uses less digits than its factorization.

14212211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14212211200 its reverse (211221241), we get a palindrome (14423432441).

The spelling of 14212211200 in words is "fourteen billion, two hundred twelve million, two hundred eleven thousand, two hundred".