12218615136 has 288 divisors, whose sum is σ = 43113627648. Its totient is φ = 3196247040.

The previous prime is 12218615107. The next prime is 12218615147. The reversal of 12218615136 is 63151681221.

12218615136 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 8 + 615 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12218615136.

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 47 ways as a sum of consecutive naturals, for example, 3326581 + ... + 3330251.

It is an arithmetic number, because the mean of its divisors is an integer number (149700096).

Almost surely, 2^12218615136 is an apocalyptic number.

12218615136 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 12218615136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21556813824).

12218615136 is an abundant number, since it is smaller than the sum of its proper divisors (30895012512).

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

12218615136 is a wasteful number, since it uses less digits than its factorization.

12218615136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3823 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 12218615136 in words is "twelve billion, two hundred eighteen million, six hundred fifteen thousand, one hundred thirty-six".