1270829227200 has 1344 divisors, whose sum is σ = 4957762682880. Its totient is φ = 282175488000.

The previous prime is 1270829227121. The next prime is 1270829227201. The reversal of 1270829227200 is 27229280721.

It is not an unprimeable number, because it can be changed into a prime (1270829227201) 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 191 ways as a sum of consecutive naturals, for example, 2609505357 + ... + 2609505843.

It is an arithmetic number, because the mean of its divisors is an integer number (3688811520).

Almost surely, 2^{1270829227200} is an apocalyptic number.

1270829227200 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 1270829227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478881341440).

1270829227200 is an abundant number, since it is smaller than the sum of its proper divisors (3686933455680).

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

1270829227200 is a wasteful number, since it uses less digits than its factorization.

1270829227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 1270829227200 in words is "one trillion, two hundred seventy billion, eight hundred twenty-nine million, two hundred twenty-seven thousand, two hundred".