1311220000 has 120 divisors (see below), whose sum is σ = 3289318956. Its totient is φ = 514176000.

The previous prime is 1311219991. The next prime is 1311220019. The reversal of 1311220000 is 221131.

It can be written as a sum of positive squares in 10 ways, for example, as 1648656 + 1309571344 = 1284^2 + 36188^2 .

It is a super-3 number, since 3×1311220000³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1059382 + ... + 1060618.

Almost surely, 2^1311220000 is an apocalyptic number.

1311220000 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 1311220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644659478).

1311220000 is an abundant number, since it is smaller than the sum of its proper divisors (1978098956).

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

1311220000 is an equidigital number, since it uses as much as digits as its factorization.

1311220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1311220000 is about 36210.7718779923. The cubic root of 1311220000 is about 1094.5237463807.

Adding to 1311220000 its reverse (221131), we get a palindrome (1311441131).

The spelling of 1311220000 in words is "one billion, three hundred eleven million, two hundred twenty thousand".