12217867200 has 672 divisors, whose sum is σ = 55543825920. Its totient is φ = 2538086400.

The previous prime is 12217867169. The next prime is 12217867253. The reversal of 12217867200 is 276871221.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 3324564 + ... + 3328236.

Almost surely, 2^12217867200 is an apocalyptic number.

12217867200 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 12217867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27771912960).

12217867200 is an abundant number, since it is smaller than the sum of its proper divisors (43325958720).

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

12217867200 is a wasteful number, since it uses less digits than its factorization.

12217867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12217867200 in words is "twelve billion, two hundred seventeen million, eight hundred sixty-seven thousand, two hundred".