12218291136 has 252 divisors, whose sum is σ = 38500857720. Its totient is φ = 3699548160.

The previous prime is 12218291087. The next prime is 12218291147. The reversal of 12218291136 is 63119281221.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12218291136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4826191 + ... + 4828721.

Almost surely, 2^12218291136 is an apocalyptic number.

12218291136 is a gapful number since it is divisible by the number (16) 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 12218291136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19250428860).

12218291136 is an abundant number, since it is smaller than the sum of its proper divisors (26282566584).

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

12218291136 is a wasteful number, since it uses less digits than its factorization.

12218291136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2582 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 12218291136 in words is "twelve billion, two hundred eighteen million, two hundred ninety-one thousand, one hundred thirty-six".