1312141040 has 80 divisors (see below), whose sum is σ = 3571646400. Its totient is φ = 438896640.

The previous prime is 1312141037. The next prime is 1312141043. The reversal of 1312141040 is 401412131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1312141037) and next prime (1312141043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312141043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5615 + ... + 51534.

It is an arithmetic number, because the mean of its divisors is an integer number (44645580).

Almost surely, 2^1312141040 is an apocalyptic number.

1312141040 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 1312141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785823200).

1312141040 is an abundant number, since it is smaller than the sum of its proper divisors (2259505360).

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

1312141040 is a wasteful number, since it uses less digits than its factorization.

1312141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57210 (or 57204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1312141040 is about 36223.4874080340. The cubic root of 1312141040 is about 1094.7799617638.

Adding to 1312141040 its reverse (401412131), we get a palindrome (1713553171).

The spelling of 1312141040 in words is "one billion, three hundred twelve million, one hundred forty-one thousand, forty".