1271225659788 has 504 divisors, whose sum is σ = 4043444549760. Its totient is φ = 348134008320.

The previous prime is 1271225659751. The next prime is 1271225659789. The reversal of 1271225659788 is 8879565221721.

1271225659788 is a `hidden beast` number, since 1 + 2 + 7 + 12 + 25 + 6 + 597 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1271225659789) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 482803720 + ... + 482806352.

It is an arithmetic number, because the mean of its divisors is an integer number (8022707440).

Almost surely, 2^{1271225659788} is an apocalyptic number.

1271225659788 is a gapful number since it is divisible by the number (18) 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 1271225659788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021722274880).

1271225659788 is an abundant number, since it is smaller than the sum of its proper divisors (2772218889972).

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

1271225659788 is a wasteful number, since it uses less digits than its factorization.

1271225659788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2785 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 1271225659788 in words is "one trillion, two hundred seventy-one billion, two hundred twenty-five million, six hundred fifty-nine thousand, seven hundred eighty-eight".