14212414201200 has 240 divisors, whose sum is σ = 45621717154176. Its totient is φ = 3782107929600.

The previous prime is 14212414201177. The next prime is 14212414201217. The reversal of 14212414201200 is 210241421241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602839167 + ... + 1602848033.

Almost surely, 2^{14212414201200} is an apocalyptic number.

14212414201200 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 14212414201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22810858577088).

14212414201200 is an abundant number, since it is smaller than the sum of its proper divisors (31409302952976).

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

14212414201200 is a wasteful number, since it uses less digits than its factorization.

14212414201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11512 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14212414201200 its reverse (210241421241), we get a palindrome (14422655622441).

The spelling of 14212414201200 in words is "fourteen trillion, two hundred twelve billion, four hundred fourteen million, two hundred one thousand, two hundred".