12827140257120 has 384 divisors, whose sum is σ = 47996514800640. Its totient is φ = 2817396449280.

The previous prime is 12827140257119. The next prime is 12827140257121. The reversal of 12827140257120 is 2175204172821.

It is an interprime number because it is at equal distance from previous prime (12827140257119) and next prime (12827140257121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12827140257121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20247894 + ... + 20871786.

It is an arithmetic number, because the mean of its divisors is an integer number (124990923960).

Almost surely, 2^{12827140257120} is an apocalyptic number.

12827140257120 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 12827140257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998257400320).

12827140257120 is an abundant number, since it is smaller than the sum of its proper divisors (35169374543520).

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

12827140257120 is a wasteful number, since it uses less digits than its factorization.

12827140257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624158 (or 624150 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 12827140257120 in words is "twelve trillion, eight hundred twenty-seven billion, one hundred forty million, two hundred fifty-seven thousand, one hundred twenty".