11220000312 has 128 divisors (see below), whose sum is σ = 28870732800. Its totient is φ = 3632832000.

The previous prime is 11220000257. The next prime is 11220000313. The reversal of 11220000312 is 21300002211.

11220000312 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 not an unprimeable number, because it can be changed into a prime (11220000313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46945489 + ... + 46945727.

It is an arithmetic number, because the mean of its divisors is an integer number (225552600).

Almost surely, 2^11220000312 is an apocalyptic number.

11220000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220000312 is an abundant number, since it is smaller than the sum of its proper divisors (17650732488).

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

11220000312 is a wasteful number, since it uses less digits than its factorization.

11220000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

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

Adding to 11220000312 its reverse (21300002211), we get a palindrome (32520002523).

The spelling of 11220000312 in words is "eleven billion, two hundred twenty million, three hundred twelve", and thus it is an aban number.