1100320003200 has 384 divisors, whose sum is σ = 3957050750400. Its totient is φ = 266514841600.

The previous prime is 1100320003141. The next prime is 1100320003201. The reversal of 1100320003200 is 23000230011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1100320003201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144985006 + ... + 144992594.

Almost surely, 2^{1100320003200} is an apocalyptic number.

1100320003200 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 1100320003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978525375200).

1100320003200 is an abundant number, since it is smaller than the sum of its proper divisors (2856730747200).

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

1100320003200 is a wasteful number, since it uses less digits than its factorization.

1100320003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9000 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1100320003200 its reverse (23000230011), we get a palindrome (1123320233211).

The spelling of 1100320003200 in words is "one trillion, one hundred billion, three hundred twenty million, three thousand, two hundred".