1311112000 has 224 divisors, whose sum is σ = 3628924416. Its totient is φ = 465152000.

The previous prime is 1311111959. The next prime is 1311112001. The reversal of 1311112000 is 2111131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4135842 + ... + 4136158.

Almost surely, 2^1311112000 is an apocalyptic number.

1311112000 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 1311112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814462208).

1311112000 is an abundant number, since it is smaller than the sum of its proper divisors (2317812416).

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

1311112000 is a wasteful number, since it uses less digits than its factorization.

1311112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1311112000 is about 36209.2805783269. The cubic root of 1311112000 is about 1094.4936950265.

Adding to 1311112000 its reverse (2111131), we get a palindrome (1313223131).

It can be divided in two parts, 1311 and 112000, that added together give a palindrome (113311).

The spelling of 1311112000 in words is "one billion, three hundred eleven million, one hundred twelve thousand".