1267912704000 has 256 divisors, whose sum is σ = 4219589986560. Its totient is φ = 338106777600.

The previous prime is 1267912703989. The next prime is 1267912704007. The reversal of 1267912704000 is 4072197621.

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 1267912704000.

It is not an unprimeable number, because it can be changed into a prime (1267912704007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12236409 + ... + 12339591.

It is an arithmetic number, because the mean of its divisors is an integer number (16482773385).

Almost surely, 2^{1267912704000} is an apocalyptic number.

1267912704000 is a gapful number since it is divisible by the number (10) 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 1267912704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109794993280).

1267912704000 is an abundant number, since it is smaller than the sum of its proper divisors (2951677282560).

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

1267912704000 is an frugal number, since it uses more digits than its factorization.

1267912704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103231 (or 103193 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 1267912704000 in words is "one trillion, two hundred sixty-seven billion, nine hundred twelve million, seven hundred four thousand".