12211320000000 has 1440 divisors, whose sum is σ = 46291830320736. Its totient is φ = 2858240000000.

The previous prime is 12211319999981. The next prime is 12211320000001. The reversal of 12211320000000 is 2311221.

It is a super-2 number, since 2×12211320000000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211320000001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 421079999986 + ... + 421080000014.

Almost surely, 2^{12211320000000} is an apocalyptic number.

12211320000000 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 12211320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23145915160368).

12211320000000 is an abundant number, since it is smaller than the sum of its proper divisors (34080510320736).

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

12211320000000 is an frugal number, since it uses more digits than its factorization.

12211320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 50 counting only the distinct ones).

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

Adding to 12211320000000 its reverse (2311221), we get a palindrome (12211322311221).

The spelling of 12211320000000 in words is "twelve trillion, two hundred eleven billion, three hundred twenty million", and thus it is an aban number.