1267320960000 has 330 divisors, whose sum is σ = 4572759250202. Its totient is φ = 337950720000.

The previous prime is 1267320959981. The next prime is 1267320960041. The reversal of 1267320960000 is 690237621.

1267320960000 is a `hidden beast` number, since 1 + 26 + 7 + 3 + 20 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 323096749056 + 944224210944 = 568416^2 + 971712^2 .

It is a super-2 number, since 2×1267320960000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5649990 + ... + 5870010.

Almost surely, 2^{1267320960000} is an apocalyptic number.

1267320960000 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 1267320960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286379625101).

1267320960000 is an abundant number, since it is smaller than the sum of its proper divisors (3305438290202).

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

1267320960000 is an equidigital number, since it uses as much as digits as its factorization.

1267320960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220067 (or 220031 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1267320960000 in words is "one trillion, two hundred sixty-seven billion, three hundred twenty million, nine hundred sixty thousand".