1268370677712 has 80 divisors (see below), whose sum is σ = 3388247582720. Its totient is φ = 408435004800.

The previous prime is 1268370677711. The next prime is 1268370677779. The reversal of 1268370677712 is 2177760738621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268370677711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103239 + ... + 1596057.

It is an arithmetic number, because the mean of its divisors is an integer number (42353094784).

Almost surely, 2^{1268370677712} is an apocalyptic number.

1268370677712 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 1268370677712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694123791360).

1268370677712 is an abundant number, since it is smaller than the sum of its proper divisors (2119876905008).

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

1268370677712 is a wasteful number, since it uses less digits than its factorization.

1268370677712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493432 (or 1493426 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 1268370677712 in words is "one trillion, two hundred sixty-eight billion, three hundred seventy million, six hundred seventy-seven thousand, seven hundred twelve".