12013212000000 has 504 divisors, whose sum is σ = 40045279913856. Its totient is φ = 3197120000000.

The previous prime is 12013211999959. The next prime is 12013212000043. The reversal of 12013212000000 is 21231021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12013212000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11651999485 + ... + 11652000515.

It is an arithmetic number, because the mean of its divisors is an integer number (79454920464).

Almost surely, 2^{12013212000000} is an apocalyptic number.

12013212000000 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 12013212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20022639956928).

12013212000000 is an abundant number, since it is smaller than the sum of its proper divisors (28032067913856).

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

12013212000000 is an frugal number, since it uses more digits than its factorization.

12013212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12013212000000 its reverse (21231021), we get a palindrome (12013233231021).

The spelling of 12013212000000 in words is "twelve trillion, thirteen billion, two hundred twelve million", and thus it is an aban number.