11222112122000 has 160 divisors (see below), whose sum is σ = 29310687579264. Its totient is φ = 4131027648000.

The previous prime is 11222112121907. The next prime is 11222112122021. The reversal of 11222112122000 is 22121122211.

It is a self number, because there is not a number n which added to its sum of digits gives 11222112122000.

It is an unprimeable number.

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, 7954007 + ... + 9257993.

Almost surely, 2^{11222112122000} is an apocalyptic number.

11222112122000 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 11222112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655343789632).

11222112122000 is an abundant number, since it is smaller than the sum of its proper divisors (18088575457264).

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

11222112122000 is a wasteful number, since it uses less digits than its factorization.

11222112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304354 (or 1304338 counting only the distinct ones).

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

Adding to 11222112122000 its reverse (22121122211), we get a palindrome (11244233244211).

The spelling of 11222112122000 in words is "eleven trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand".