1267996384512 has 360 divisors, whose sum is σ = 4441948932960. Its totient is φ = 354683473920.

The previous prime is 1267996384483. The next prime is 1267996384519. The reversal of 1267996384512 is 2154836997621.

1267996384512 is a `hidden beast` number, since 1 + 2 + 67 + 9 + 96 + 38 + 451 + 2 = 666.

It is a super-2 number, since 2×1267996384512² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1267996384512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267996384519) 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 39 ways as a sum of consecutive naturals, for example, 2751439 + ... + 3179057.

It is an arithmetic number, because the mean of its divisors is an integer number (12338747036).

Almost surely, 2^{1267996384512} is an apocalyptic number.

1267996384512 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 1267996384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220974466480).

1267996384512 is an abundant number, since it is smaller than the sum of its proper divisors (3173952548448).

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

1267996384512 is a wasteful number, since it uses less digits than its factorization.

1267996384512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427671 (or 427648 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 1267996384512 in words is "one trillion, two hundred sixty-seven billion, nine hundred ninety-six million, three hundred eighty-four thousand, five hundred twelve".