1000222112000 has 144 divisors (see below), whose sum is σ = 2492592730992. Its totient is φ = 399942041600.

The previous prime is 1000222111997. The next prime is 1000222112009. The reversal of 1000222112000 is 2112220001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 94923145216 + 905298966784 = 308096^2 + 951472^2 .

It is a super-3 number, since 3×1000222112000³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000222112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142620494 + ... + 142627506.

It is an arithmetic number, because the mean of its divisors is an integer number (17309671743).

Almost surely, 2^{1000222112000} is an apocalyptic number.

1000222112000 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 1000222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246296365496).

1000222112000 is an abundant number, since it is smaller than the sum of its proper divisors (1492370618992).

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

1000222112000 is an frugal number, since it uses more digits than its factorization.

1000222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000222112000 its reverse (2112220001), we get a palindrome (1002334332001).

The spelling of 1000222112000 in words is "one trillion, two hundred twenty-two million, one hundred twelve thousand".