12031213212000 has 1728 divisors, whose sum is σ = 47485197527040. Its totient is φ = 2873822976000.

The previous prime is 12031213211971. The next prime is 12031213212071. The reversal of 12031213212000 is 21231213021.

12031213212000 is a `hidden beast` number, since 1 + 20 + 3 + 121 + 321 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73811123919 + ... + 73811124081.

It is an arithmetic number, because the mean of its divisors is an integer number (27479859680).

Almost surely, 2^{12031213212000} is an apocalyptic number.

12031213212000 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 12031213212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23742598763520).

12031213212000 is an abundant number, since it is smaller than the sum of its proper divisors (35453984315040).

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

12031213212000 is a wasteful number, since it uses less digits than its factorization.

12031213212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12031213212000 its reverse (21231213021), we get a palindrome (12052444425021).

The spelling of 12031213212000 in words is "twelve trillion, thirty-one billion, two hundred thirteen million, two hundred twelve thousand".