12717181840 has 160 divisors (see below), whose sum is σ = 35951091840. Its totient is φ = 4123238400.

The previous prime is 12717181811. The next prime is 12717181849. The reversal of 12717181840 is 4818171721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12717181793 and 12717181802.

It is not an unprimeable number, because it can be changed into a prime (12717181849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261870 + ... + 306610.

It is an arithmetic number, because the mean of its divisors is an integer number (224694324).

Almost surely, 2^12717181840 is an apocalyptic number.

12717181840 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 12717181840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975545920).

12717181840 is an abundant number, since it is smaller than the sum of its proper divisors (23233910000).

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

12717181840 is a wasteful number, since it uses less digits than its factorization.

12717181840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44801 (or 44795 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 40.

The spelling of 12717181840 in words is "twelve billion, seven hundred seventeen million, one hundred eighty-one thousand, eight hundred forty".