1000222112120 has 128 divisors (see below), whose sum is σ = 2808496627200. Its totient is φ = 311459904000.

The previous prime is 1000222112041. The next prime is 1000222112171. The reversal of 1000222112120 is 212112220001.

1000222112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1000222112095 and 1000222112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3082586 + ... + 3391574.

It is an arithmetic number, because the mean of its divisors is an integer number (21941379900).

Almost surely, 2^{1000222112120} is an apocalyptic number.

1000222112120 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 1000222112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404248313600).

1000222112120 is an abundant number, since it is smaller than the sum of its proper divisors (1808274515080).

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

1000222112120 is a wasteful number, since it uses less digits than its factorization.

1000222112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310069 (or 310065 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000222112120 its reverse (212112220001), we get a palindrome (1212334332121).

It can be divided in two parts, 10002 and 22112120, that added together give a palindrome (22122122).

The spelling of 1000222112120 in words is "one trillion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".