12200001300 has 360 divisors, whose sum is σ = 41288607360. Its totient is φ = 3112300800.

The previous prime is 12200001277. The next prime is 12200001353. The reversal of 12200001300 is 310000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39228145 + ... + 39228455.

It is an arithmetic number, because the mean of its divisors is an integer number (114690576).

Almost surely, 2^12200001300 is an apocalyptic number.

12200001300 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 12200001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644303680).

12200001300 is an abundant number, since it is smaller than the sum of its proper divisors (29088606060).

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

12200001300 is a wasteful number, since it uses less digits than its factorization.

12200001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12200001300 its reverse (310000221), we get a palindrome (12510001521).

The spelling of 12200001300 in words is "twelve billion, two hundred million, one thousand, three hundred".