12221122112000 has 160 divisors (see below), whose sum is σ = 32266730667600. Its totient is φ = 4600892620800.

The previous prime is 12221122111909. The next prime is 12221122112011. The reversal of 12221122112000 is 21122112221.

It can be written as a sum of positive squares in 8 ways, for example, as 1679032576 + 12219443079424 = 40976^2 + 3495632^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12221122112000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4528325 + ... + 6704324.

Almost surely, 2^{12221122112000} is an apocalyptic number.

12221122112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221122112000 is an abundant number, since it is smaller than the sum of its proper divisors (20045608555600).

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

12221122112000 is an equidigital number, since it uses as much as digits as its factorization.

12221122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232699 (or 11232673 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12221122112000 its reverse (21122112221), we get a palindrome (12242244224221).

The spelling of 12221122112000 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand".