3111220312218 has 128 divisors (see below), whose sum is σ = 7219298304000. Its totient is φ = 991946450880.

The previous prime is 3111220312217. The next prime is 3111220312223. The reversal of 3111220312218 is 8122130221113.

It is a happy number.

3111220312218 is a `hidden beast` number, since 3 + 1 + 112 + 20 + 312 + 218 = 666.

3111220312218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3111220312191 and 3111220312200.

It is not an unprimeable number, because it can be changed into a prime (3111220312217) 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, 137416143 + ... + 137438781.

It is an arithmetic number, because the mean of its divisors is an integer number (56400768000).

Almost surely, 2^{3111220312218} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111220312218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609649152000).

3111220312218 is an abundant number, since it is smaller than the sum of its proper divisors (4108077991782).

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

3111220312218 is a wasteful number, since it uses less digits than its factorization.

3111220312218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23497 (or 23491 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 3111220312218 in words is "three trillion, one hundred eleven billion, two hundred twenty million, three hundred twelve thousand, two hundred eighteen".