1100223022032 has 200 divisors, whose sum is σ = 3435300445896. Its totient is φ = 338655043584.

The previous prime is 1100223022009. The next prime is 1100223022069. The reversal of 1100223022032 is 2302203220011.

It can be written as a sum of positive squares in 4 ways, for example, as 605445834816 + 494777187216 = 778104^2 + 703404^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100223021996 and 1100223022014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 696588 + ... + 1638804.

Almost surely, 2^{1100223022032} is an apocalyptic number.

1100223022032 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 1100223022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717650222948).

1100223022032 is an abundant number, since it is smaller than the sum of its proper divisors (2335077423864).

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

1100223022032 is a wasteful number, since it uses less digits than its factorization.

1100223022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942307 (or 942292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1100223022032 its reverse (2302203220011), we get a palindrome (3402426242043).

The spelling of 1100223022032 in words is "one trillion, one hundred billion, two hundred twenty-three million, twenty-two thousand, thirty-two".