12014114200 has 576 divisors, whose sum is σ = 36068004000. Its totient is φ = 3690086400.

The previous prime is 12014114191. The next prime is 12014114209. The reversal of 12014114200 is 241141021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12014114191) and next prime (12014114209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014114209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 226681374 + ... + 226681426.

Almost surely, 2^12014114200 is an apocalyptic number.

12014114200 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 12014114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034002000).

12014114200 is an abundant number, since it is smaller than the sum of its proper divisors (24053889800).

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

12014114200 is a wasteful number, since it uses less digits than its factorization.

12014114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

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

Adding to 12014114200 its reverse (241141021), we get a palindrome (12255255221).

The spelling of 12014114200 in words is "twelve billion, fourteen million, one hundred fourteen thousand, two hundred".