12144001014200 has 192 divisors, whose sum is σ = 31803428736000. Its totient is φ = 4272443136000.

The previous prime is 12144001014157. The next prime is 12144001014253. The reversal of 12144001014200 is 241010044121.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 290442896 + ... + 290484704.

It is an arithmetic number, because the mean of its divisors is an integer number (165642858000).

Almost surely, 2^{12144001014200} is an apocalyptic number.

12144001014200 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 12144001014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901714368000).

12144001014200 is an abundant number, since it is smaller than the sum of its proper divisors (19659427721800).

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

12144001014200 is a wasteful number, since it uses less digits than its factorization.

12144001014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46126 (or 46117 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12144001014200 its reverse (241010044121), we get a palindrome (12385011058321).

The spelling of 12144001014200 in words is "twelve trillion, one hundred forty-four billion, one million, fourteen thousand, two hundred".