1100120222112 has 96 divisors (see below), whose sum is σ = 2977144232832. Its totient is φ = 355438808064.

The previous prime is 1100120222111. The next prime is 1100120222129. The reversal of 1100120222112 is 2112220210011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1100120222091 and 1100120222100.

It is not an unprimeable number, because it can be changed into a prime (1100120222111) 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, 345358 + ... + 1522994.

It is an arithmetic number, because the mean of its divisors is an integer number (31011919092).

Almost surely, 2^{1100120222112} is an apocalyptic number.

1100120222112 is a gapful number since it is divisible by the number (12) 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 1100120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488572116416).

1100120222112 is an abundant number, since it is smaller than the sum of its proper divisors (1877024010720).

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

1100120222112 is a wasteful number, since it uses less digits than its factorization.

1100120222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177950 (or 1177942 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1100120222112 its reverse (2112220210011), we get a palindrome (3212340432123).

The spelling of 1100120222112 in words is "one trillion, one hundred billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".