1267389631872 has 1280 divisors, whose sum is σ = 4863790848000. Its totient is φ = 322620641280.

The previous prime is 1267389631867. The next prime is 1267389631877. The reversal of 1267389631872 is 2781369837621.

1267389631872 is a `hidden beast` number, since 12 + 6 + 7 + 389 + 63 + 187 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1267389631867) and next prime (1267389631877).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (1267389631877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3344035779 + ... + 3344036157.

It is an arithmetic number, because the mean of its divisors is an integer number (3799836600).

Almost surely, 2^{1267389631872} is an apocalyptic number.

1267389631872 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 1267389631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431895424000).

1267389631872 is an abundant number, since it is smaller than the sum of its proper divisors (3596401216128).

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

1267389631872 is an equidigital number, since it uses as much as digits as its factorization.

1267389631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 435 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 1267389631872 in words is "one trillion, two hundred sixty-seven billion, three hundred eighty-nine million, six hundred thirty-one thousand, eight hundred seventy-two".