1268277712 has 80 divisors (see below), whose sum is σ = 2733713920. Its totient is φ = 566217216.

The previous prime is 1268277697. The next prime is 1268277727. The reversal of 1268277712 is 2177728621.

It is an interprime number because it is at equal distance from previous prime (1268277697) and next prime (1268277727).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715839 + ... + 1716577.

It is an arithmetic number, because the mean of its divisors is an integer number (34171424).

Almost surely, 2^1268277712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268277712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366856960).

1268277712 is an abundant number, since it is smaller than the sum of its proper divisors (1465436208).

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

1268277712 is a wasteful number, since it uses less digits than its factorization.

1268277712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its digits is 131712, while the sum is 43.

The square root of 1268277712 is about 35612.8868810154. The cubic root of 1268277712 is about 1082.4423782992.

The spelling of 1268277712 in words is "one billion, two hundred sixty-eight million, two hundred seventy-seven thousand, seven hundred twelve".