1311214120 has 64 divisors (see below), whose sum is σ = 3097699200. Its totient is φ = 498812160.

The previous prime is 1311214109. The next prime is 1311214123. The reversal of 1311214120 is 214121131.

It is a junction number, because it is equal to n+sod(n) for n = 1311214094 and 1311214103.

It is not an unprimeable number, because it can be changed into a prime (1311214123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69285 + ... + 86155.

It is an arithmetic number, because the mean of its divisors is an integer number (48401550).

Almost surely, 2^1311214120 is an apocalyptic number.

1311214120 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 1311214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548849600).

1311214120 is an abundant number, since it is smaller than the sum of its proper divisors (1786485080).

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

1311214120 is a wasteful number, since it uses less digits than its factorization.

1311214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16974 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1311214120 is about 36210.6906865914. The cubic root of 1311214120 is about 1094.5221102939.

Adding to 1311214120 its reverse (214121131), we get a palindrome (1525335251).

The spelling of 1311214120 in words is "one billion, three hundred eleven million, two hundred fourteen thousand, one hundred twenty".