1312223324440 has 128 divisors (see below), whose sum is σ = 3576537452160. Its totient is φ = 422994345984.

The previous prime is 1312223324413. The next prime is 1312223324449. The reversal of 1312223324440 is 444233222131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312223324449) 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, 4391644 + ... + 4680916.

It is an arithmetic number, because the mean of its divisors is an integer number (27941698845).

Almost surely, 2^{1312223324440} is an apocalyptic number.

1312223324440 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 1312223324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788268726080).

1312223324440 is an abundant number, since it is smaller than the sum of its proper divisors (2264314127720).

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

1312223324440 is a wasteful number, since it uses less digits than its factorization.

1312223324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290261 (or 290257 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1312223324440 its reverse (444233222131), we get a palindrome (1756456546571).

The spelling of 1312223324440 in words is "one trillion, three hundred twelve billion, two hundred twenty-three million, three hundred twenty-four thousand, four hundred forty".