11211321312 has 72 divisors (see below), whose sum is σ = 32318997984. Its totient is φ = 3685906944.

The previous prime is 11211321269. The next prime is 11211321353. The reversal of 11211321312 is 21312311211.

11211321312 is a `hidden beast` number, since 11 + 21 + 1 + 321 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245608 + ... + 287655.

It is an arithmetic number, because the mean of its divisors is an integer number (448874972).

Almost surely, 2^11211321312 is an apocalyptic number.

11211321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211321312 is an abundant number, since it is smaller than the sum of its proper divisors (21107676672).

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

11211321312 is a wasteful number, since it uses less digits than its factorization.

11211321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533352 (or 533341 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11211321312 its reverse (21312311211), we get a palindrome (32523632523).

The spelling of 11211321312 in words is "eleven billion, two hundred eleven million, three hundred twenty-one thousand, three hundred twelve".