12212112122000 has 480 divisors, whose sum is σ = 34591615789536. Its totient is φ = 4157669376000.

The previous prime is 12212112121987. The next prime is 12212112122033. The reversal of 12212112122000 is 22121121221.

It can be written as a sum of positive squares in 16 ways, for example, as 1704037830544 + 10508074291456 = 1305388^2 + 3241616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12212112122000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11510001470 + ... + 11510002530.

Almost surely, 2^{12212112122000} is an apocalyptic number.

12212112122000 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 12212112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295807894768).

12212112122000 is an abundant number, since it is smaller than the sum of its proper divisors (22379503667536).

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

12212112122000 is a wasteful number, since it uses less digits than its factorization.

12212112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1789 counting only the distinct ones).

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

Adding to 12212112122000 its reverse (22121121221), we get a palindrome (12234233243221).

The spelling of 12212112122000 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand".