14001201200 has 180 divisors, whose sum is σ = 39222523080. Its totient is φ = 4789048320.

The previous prime is 14001201199. The next prime is 14001201211. The reversal of 14001201200 is 210210041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15855959 + ... + 15856841.

It is an arithmetic number, because the mean of its divisors is an integer number (217902906).

Almost surely, 2^14001201200 is an apocalyptic number.

14001201200 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 14001201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611261540).

14001201200 is an abundant number, since it is smaller than the sum of its proper divisors (25221321880).

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

14001201200 is a wasteful number, since it uses less digits than its factorization.

14001201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 14001201200 its reverse (210210041), we get a palindrome (14211411241).

The spelling of 14001201200 in words is "fourteen billion, one million, two hundred one thousand, two hundred".