11000312400 has 960 divisors, whose sum is σ = 47825510400. Its totient is φ = 2091417600.

The previous prime is 11000312399. The next prime is 11000312413. The reversal of 11000312400 is 421300011.

It is a happy number.

11000312400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73827526 + ... + 73827674.

It is an arithmetic number, because the mean of its divisors is an integer number (49818240).

Almost surely, 2^11000312400 is an apocalyptic number.

11000312400 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 11000312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23912755200).

11000312400 is an abundant number, since it is smaller than the sum of its proper divisors (36825198000).

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

11000312400 is a wasteful number, since it uses less digits than its factorization.

11000312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11000312400 its reverse (421300011), we get a palindrome (11421612411).

The spelling of 11000312400 in words is "eleven billion, three hundred twelve thousand, four hundred".