11031200000 has 108 divisors (see below), whose sum is σ = 27524371140. Its totient is φ = 4412160000.

The previous prime is 11031199999. The next prime is 11031200009. The reversal of 11031200000 is 213011.

It can be written as a sum of positive squares in 6 ways, for example, as 6036668416 + 4994531584 = 77696^2 + 70672^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11031200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793106 + ... + 806894.

Almost surely, 2^11031200000 is an apocalyptic number.

11031200000 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 11031200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13762185570).

11031200000 is an abundant number, since it is smaller than the sum of its proper divisors (16493171140).

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

11031200000 is an frugal number, since it uses more digits than its factorization.

11031200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11031200000 its reverse (213011), we get a palindrome (11031413011).

The spelling of 11031200000 in words is "eleven billion, thirty-one million, two hundred thousand".