1268342712 has 320 divisors, whose sum is σ = 4432317120. Its totient is φ = 329951232.

The previous prime is 1268342707. The next prime is 1268342717. The reversal of 1268342712 is 2172438621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1268342707) and next prime (1268342717).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268342717) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8078538 + ... + 8078694.

It is an arithmetic number, because the mean of its divisors is an integer number (13850991).

Almost surely, 2^1268342712 is an apocalyptic number.

1268342712 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 1268342712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216158560).

1268342712 is an abundant number, since it is smaller than the sum of its proper divisors (3163974408).

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

1268342712 is a wasteful number, since it uses less digits than its factorization.

1268342712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1268342712 is about 35613.7994603216. The cubic root of 1268342712 is about 1082.4608699256.

The spelling of 1268342712 in words is "one billion, two hundred sixty-eight million, three hundred forty-two thousand, seven hundred twelve".