12002143507200 has 4320 divisors, whose sum is σ = 61208772387840. Its totient is φ = 2242274918400.

The previous prime is 12002143507199. The next prime is 12002143507229. The reversal of 12002143507200 is 270534120021.

12002143507200 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 21 + 435 + 0 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15607468416 + ... + 15607469184.

It is an arithmetic number, because the mean of its divisors is an integer number (14168697312).

Almost surely, 2^{12002143507200} is an apocalyptic number.

12002143507200 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 12002143507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30604386193920).

12002143507200 is an abundant number, since it is smaller than the sum of its proper divisors (49206628880640).

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

12002143507200 is a wasteful number, since it uses less digits than its factorization.

12002143507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12002143507200 its reverse (270534120021), we get a palindrome (12272677627221).

The spelling of 12002143507200 in words is "twelve trillion, two billion, one hundred forty-three million, five hundred seven thousand, two hundred".