12200210000 has 200 divisors, whose sum is σ = 32444289504. Its totient is φ = 4406080000.

The previous prime is 12200209969. The next prime is 12200210047. The reversal of 12200210000 is 1200221.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12200210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21669719 + ... + 21670281.

Almost surely, 2^12200210000 is an apocalyptic number.

12200210000 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 12200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222144752).

12200210000 is an abundant number, since it is smaller than the sum of its proper divisors (20244079504).

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

12200210000 is a wasteful number, since it uses less digits than its factorization.

12200210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12200210000 its reverse (1200221), we get a palindrome (12201410221).

The spelling of 12200210000 in words is "twelve billion, two hundred million, two hundred ten thousand".