1311112012 has 96 divisors (see below), whose sum is σ = 2878848000. Its totient is φ = 520337664.

The previous prime is 1311112009. The next prime is 1311112013. The reversal of 1311112012 is 2102111131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311111983 and 1311112001.

It is not an unprimeable number, because it can be changed into a prime (1311112013) 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, 1562289 + ... + 1563127.

It is an arithmetic number, because the mean of its divisors is an integer number (29988000).

Almost surely, 2^1311112012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439424000).

1311112012 is an abundant number, since it is smaller than the sum of its proper divisors (1567735988).

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

1311112012 is a wasteful number, since it uses less digits than its factorization.

1311112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1311112012 is about 36209.2807440303. The cubic root of 1311112012 is about 1094.4936983656.

Adding to 1311112012 its reverse (2102111131), we get a palindrome (3413223143).

The spelling of 1311112012 in words is "one billion, three hundred eleven million, one hundred twelve thousand, twelve".