1271299276800 has 2880 divisors, whose sum is σ = 6053115633840. Its totient is φ = 261598740480.

The previous prime is 1271299276789. The next prime is 1271299276837. The reversal of 1271299276800 is 86729921721.

1271299276800 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 299 + 276 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 55273881589 + ... + 55273881611.

Almost surely, 2^{1271299276800} is an apocalyptic number.

1271299276800 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 1271299276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026557816920).

1271299276800 is an abundant number, since it is smaller than the sum of its proper divisors (4781816357040).

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

1271299276800 is an equidigital number, since it uses as much as digits as its factorization.

1271299276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1271299276800 in words is "one trillion, two hundred seventy-one billion, two hundred ninety-nine million, two hundred seventy-six thousand, eight hundred".