12271169495040 has 672 divisors, whose sum is σ = 41246583146496. Its totient is φ = 3114833018880.

The previous prime is 12271169495023. The next prime is 12271169495041. The reversal of 12271169495040 is 4059496117221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271169495041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20216094417 + ... + 20216095023.

It is an arithmetic number, because the mean of its divisors is an integer number (61378843968).

Almost surely, 2^{12271169495040} is an apocalyptic number.

12271169495040 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 12271169495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623291573248).

12271169495040 is an abundant number, since it is smaller than the sum of its proper divisors (28975413651456).

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

12271169495040 is an equidigital number, since it uses as much as digits as its factorization.

12271169495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 12271169495040 in words is "twelve trillion, two hundred seventy-one billion, one hundred sixty-nine million, four hundred ninety-five thousand, forty".