1309706112 has 512 divisors, whose sum is σ = 4589706240. Its totient is φ = 324403200.

The previous prime is 1309706107. The next prime is 1309706117. The reversal of 1309706112 is 2116079031.

It is an interprime number because it is at equal distance from previous prime (1309706107) and next prime (1309706117).

It is a self number, because there is not a number n which added to its sum of digits gives 1309706112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309706117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21470562 + ... + 21470622.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270).

Almost surely, 2^1309706112 is an apocalyptic number.

1309706112 is a gapful number since it is divisible by the number (12) 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 1309706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294853120).

1309706112 is an abundant number, since it is smaller than the sum of its proper divisors (3280000128).

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

1309706112 is a wasteful number, since it uses less digits than its factorization.

1309706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1309706112 is about 36189.8620058159. The cubic root of 1309706112 is about 1094.1023514270.

The spelling of 1309706112 in words is "one billion, three hundred nine million, seven hundred six thousand, one hundred twelve".