1271133388800 has 1620 divisors, whose sum is σ = 5278026049296. Its totient is φ = 300987187200.

The previous prime is 1271133388769. The next prime is 1271133388801. The reversal of 1271133388800 is 88833311721.

1271133388800 is a `hidden beast` number, since 127 + 113 + 338 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1271133388801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 29561241579 + ... + 29561241621.

Almost surely, 2^{1271133388800} is an apocalyptic number.

1271133388800 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 1271133388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639013024648).

1271133388800 is an abundant number, since it is smaller than the sum of its proper divisors (4006892660496).

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

1271133388800 is an frugal number, since it uses more digits than its factorization.

1271133388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1271133388800 in words is "one trillion, two hundred seventy-one billion, one hundred thirty-three million, three hundred eighty-eight thousand, eight hundred".