1312105220 has 96 divisors (see below), whose sum is σ = 2985776640. Its totient is φ = 482549760.

The previous prime is 1312105217. The next prime is 1312105229. The reversal of 1312105220 is 225012131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1312105229) 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, 5444300 + ... + 5444540.

It is an arithmetic number, because the mean of its divisors is an integer number (31101840).

Almost surely, 2^1312105220 is an apocalyptic number.

1312105220 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 1312105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492888320).

1312105220 is an abundant number, since it is smaller than the sum of its proper divisors (1673671420).

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

1312105220 is a wasteful number, since it uses less digits than its factorization.

1312105220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1312105220 is about 36222.9929740766. The cubic root of 1312105220 is about 1094.7699995788.

Adding to 1312105220 its reverse (225012131), we get a palindrome (1537117351).

The spelling of 1312105220 in words is "one billion, three hundred twelve million, one hundred five thousand, two hundred twenty".