1271461860800 has 168 divisors, whose sum is σ = 3180187340400. Its totient is φ = 500251115520.

The previous prime is 1271461860763. The next prime is 1271461860827. The reversal of 1271461860800 is 80681641721.

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, 30390296 + ... + 30432104.

It is an arithmetic number, because the mean of its divisors is an integer number (18929686550).

Almost surely, 2^{1271461860800} is an apocalyptic number.

1271461860800 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 1271461860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590093670200).

1271461860800 is an abundant number, since it is smaller than the sum of its proper divisors (1908725479600).

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

1271461860800 is a wasteful number, since it uses less digits than its factorization.

1271461860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42143 (or 42128 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 1271461860800 in words is "one trillion, two hundred seventy-one billion, four hundred sixty-one million, eight hundred sixty thousand, eight hundred".