12114421200 has 180 divisors, whose sum is σ = 48046279008. Its totient is φ = 2769004800.

The previous prime is 12114421181. The next prime is 12114421201. The reversal of 12114421200 is 212441121.

12114421200 is a `hidden beast` number, since 1 + 21 + 1 + 442 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×12114421200³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114421201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215166 + ... + 265565.

Almost surely, 2^12114421200 is an apocalyptic number.

12114421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114421200 is an abundant number, since it is smaller than the sum of its proper divisors (35931857808).

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

12114421200 is a wasteful number, since it uses less digits than its factorization.

12114421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480762 (or 480748 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12114421200 its reverse (212441121), we get a palindrome (12326862321).

The spelling of 12114421200 in words is "twelve billion, one hundred fourteen million, four hundred twenty-one thousand, two hundred".