1271132665152 has 336 divisors, whose sum is σ = 3960754616448. Its totient is φ = 352435691520.

The previous prime is 1271132665093. The next prime is 1271132665163. The reversal of 1271132665152 is 2515662311721.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995404738 + ... + 995406014.

It is an arithmetic number, because the mean of its divisors is an integer number (11787960168).

Almost surely, 2^{1271132665152} is an apocalyptic number.

1271132665152 is a gapful number since it is divisible by the number (12) 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 1271132665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980377308224).

1271132665152 is an abundant number, since it is smaller than the sum of its proper divisors (2689621951296).

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

1271132665152 is a wasteful number, since it uses less digits than its factorization.

1271132665152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1867 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

Adding to 1271132665152 its reverse (2515662311721), we get a palindrome (3786794976873).

The spelling of 1271132665152 in words is "one trillion, two hundred seventy-one billion, one hundred thirty-two million, six hundred sixty-five thousand, one hundred fifty-two".