1280803135200 has 144 divisors (see below), whose sum is σ = 4172755270320. Its totient is φ = 341241016320.

The previous prime is 1280803135193. The next prime is 1280803135231. The reversal of 1280803135200 is 25313080821.

It is a super-2 number, since 2×1280803135200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2441916 + ... + 2919684.

It is an arithmetic number, because the mean of its divisors is an integer number (28977467155).

Almost surely, 2^{1280803135200} is an apocalyptic number.

1280803135200 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 1280803135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086377635160).

1280803135200 is an abundant number, since it is smaller than the sum of its proper divisors (2891952135120).

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

1280803135200 is a wasteful number, since it uses less digits than its factorization.

1280803135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478909 (or 478896 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 1280803135200 in words is "one trillion, two hundred eighty billion, eight hundred three million, one hundred thirty-five thousand, two hundred".