14412001200 has 180 divisors, whose sum is σ = 46646363400. Its totient is φ = 3803653120.

The previous prime is 14412001189. The next prime is 14412001249. The reversal of 14412001200 is 210021441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14412001200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13738276 + ... + 13739324.

Almost surely, 2^14412001200 is an apocalyptic number.

14412001200 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 14412001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23323181700).

14412001200 is an abundant number, since it is smaller than the sum of its proper divisors (32234362200).

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

14412001200 is a wasteful number, since it uses less digits than its factorization.

14412001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14412001200 its reverse (210021441), we get a palindrome (14622022641).

The spelling of 14412001200 in words is "fourteen billion, four hundred twelve million, one thousand, two hundred".