1312073216 has 80 divisors (see below), whose sum is σ = 2742949440. Its totient is φ = 626196480.

The previous prime is 1312073179. The next prime is 1312073219. The reversal of 1312073216 is 6123702131.

It is a super-2 number, since 2×1312073216² = 3443072248289165312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312073219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439801 + ... + 1440711.

It is an arithmetic number, because the mean of its divisors is an integer number (34286868).

Almost surely, 2^1312073216 is an apocalyptic number.

1312073216 is a gapful number since it is divisible by the number (16) 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 1312073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371474720).

1312073216 is an abundant number, since it is smaller than the sum of its proper divisors (1430876224).

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

1312073216 is an frugal number, since it uses more digits than its factorization.

1312073216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 1312073216 is about 36222.5512077766. The cubic root of 1312073216 is about 1094.7610985386.

Adding to 1312073216 its reverse (6123702131), we get a palindrome (7435775347).

The spelling of 1312073216 in words is "one billion, three hundred twelve million, seventy-three thousand, two hundred sixteen".