12000010201200 has 360 divisors, whose sum is σ = 47831599296000. Its totient is φ = 2729075120640.

The previous prime is 12000010201171. The next prime is 12000010201213. The reversal of 12000010201200 is 210201000021.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3818341 + ... + 6211259.

It is an arithmetic number, because the mean of its divisors is an integer number (132865553600).

Almost surely, 2^{12000010201200} is an apocalyptic number.

12000010201200 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 12000010201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23915799648000).

12000010201200 is an abundant number, since it is smaller than the sum of its proper divisors (35831589094800).

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

12000010201200 is a wasteful number, since it uses less digits than its factorization.

12000010201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393149 (or 2393135 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000010201200 its reverse (210201000021), we get a palindrome (12210211201221).

The spelling of 12000010201200 in words is "twelve trillion, ten million, two hundred one thousand, two hundred".