12170811018240 has 3168 divisors, whose sum is σ = 55352242483200. Its totient is φ = 2410127032320.

The previous prime is 12170811018199. The next prime is 12170811018257. The reversal of 12170811018240 is 4281011807121.

It is a super-2 number, since 2×12170811018240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12170811018195 and 12170811018204.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 258953425897 + ... + 258953425943.

Almost surely, 2^{12170811018240} is an apocalyptic number.

12170811018240 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 12170811018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27676121241600).

12170811018240 is an abundant number, since it is smaller than the sum of its proper divisors (43181431464960).

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

12170811018240 is a wasteful number, since it uses less digits than its factorization.

12170811018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 12170811018240 in words is "twelve trillion, one hundred seventy billion, eight hundred eleven million, eighteen thousand, two hundred forty".