1311122000 has 40 divisors (see below), whose sum is σ = 3170297832. Its totient is φ = 524448000.

The previous prime is 1311121993. The next prime is 1311122009. The reversal of 1311122000 is 2211131.

It can be written as a sum of positive squares in 4 ways, for example, as 235806736 + 1075315264 = 15356^2 + 32792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325781 + ... + 329780.

Almost surely, 2^1311122000 is an apocalyptic number.

1311122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311122000 is an abundant number, since it is smaller than the sum of its proper divisors (1859175832).

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

1311122000 is an equidigital number, since it uses as much as digits as its factorization.

1311122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655584 (or 655568 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1311122000 is about 36209.4186642095. The cubic root of 1311122000 is about 1094.4964776286.

Adding to 1311122000 its reverse (2211131), we get a palindrome (1313333131).

The spelling of 1311122000 in words is "one billion, three hundred eleven million, one hundred twenty-two thousand".