1102222120000 has 140 divisors (see below), whose sum is σ = 2743339834620. Its totient is φ = 439245568000.

The previous prime is 1102222119923. The next prime is 1102222120061. The reversal of 1102222120000 is 212222011.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 801110922304 + 301111197696 = 895048^2 + 548736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10708782 + ... + 10811218.

It is an arithmetic number, because the mean of its divisors is an integer number (19595284533).

Almost surely, 2^{1102222120000} is an apocalyptic number.

1102222120000 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 1102222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371669917310).

1102222120000 is an abundant number, since it is smaller than the sum of its proper divisors (1641117714620).

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

1102222120000 is an equidigital number, since it uses as much as digits as its factorization.

1102222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102738 (or 102713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1102222120000 its reverse (212222011), we get a palindrome (1102434342011).

The spelling of 1102222120000 in words is "one trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty thousand".