11230311003200 has 336 divisors, whose sum is σ = 29631092863680. Its totient is φ = 4174393835520.

The previous prime is 11230311003193. The next prime is 11230311003239. The reversal of 11230311003200 is 230011303211.

It is a super-2 number, since 2×11230311003200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893486516 + ... + 893499084.

It is an arithmetic number, because the mean of its divisors is an integer number (88187776380).

Almost surely, 2^{11230311003200} is an apocalyptic number.

11230311003200 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 11230311003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815546431840).

11230311003200 is an abundant number, since it is smaller than the sum of its proper divisors (18400781860480).

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

11230311003200 is a wasteful number, since it uses less digits than its factorization.

11230311003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11230311003200 its reverse (230011303211), we get a palindrome (11460322306411).

The spelling of 11230311003200 in words is "eleven trillion, two hundred thirty billion, three hundred eleven million, three thousand, two hundred".