12111121322000 has 160 divisors (see below), whose sum is σ = 30846538195200. Its totient is φ = 4586418432000.

The previous prime is 12111121321991. The next prime is 12111121322009. The reversal of 12111121322000 is 22312111121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12111121321991) and next prime (12111121322009).

It is a self number, because there is not a number n which added to its sum of digits gives 12111121322000.

It is not an unprimeable number, because it can be changed into a prime (12111121322009) 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 31 ways as a sum of consecutive naturals, for example, 57312536 + ... + 57523464.

It is an arithmetic number, because the mean of its divisors is an integer number (192790863720).

Almost surely, 2^{12111121322000} is an apocalyptic number.

12111121322000 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 12111121322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423269097600).

12111121322000 is an abundant number, since it is smaller than the sum of its proper divisors (18735416873200).

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

12111121322000 is a wasteful number, since it uses less digits than its factorization.

12111121322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212482 (or 212466 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12111121322000 its reverse (22312111121), we get a palindrome (12133433433121).

The spelling of 12111121322000 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-one million, three hundred twenty-two thousand".