12209218560 has 1408 divisors, whose sum is σ = 57350062080. Its totient is φ = 2388787200.

The previous prime is 12209218507. The next prime is 12209218583. The reversal of 12209218560 is 6581290221.

12209218560 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 92 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329978862 + ... + 329978898.

Almost surely, 2^12209218560 is an apocalyptic number.

12209218560 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 12209218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28675031040).

12209218560 is an abundant number, since it is smaller than the sum of its proper divisors (45140843520).

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

12209218560 is a wasteful number, since it uses less digits than its factorization.

12209218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

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

The spelling of 12209218560 in words is "twelve billion, two hundred nine million, two hundred eighteen thousand, five hundred sixty".