12200321952 has 384 divisors, whose sum is σ = 46106726400. Its totient is φ = 3047943168.

The previous prime is 12200321951. The next prime is 12200321981. The reversal of 12200321952 is 25912300221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12200321951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1489773 + ... + 1497939.

It is an arithmetic number, because the mean of its divisors is an integer number (120069600).

Almost surely, 2^12200321952 is an apocalyptic number.

12200321952 is a gapful number since it is divisible by the number (12) 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 12200321952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23053363200).

12200321952 is an abundant number, since it is smaller than the sum of its proper divisors (33906404448).

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

12200321952 is a wasteful number, since it uses less digits than its factorization.

12200321952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12200321952 in words is "twelve billion, two hundred million, three hundred twenty-one thousand, nine hundred fifty-two".