12200032400000 has 384 divisors, whose sum is σ = 30810124275840. Its totient is φ = 4811200000000.

The previous prime is 12200032399991. The next prime is 12200032400021. The reversal of 12200032400000 is 423000221.

It is a super-2 number, since 2×12200032400000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12564399515 + ... + 12564400485.

It is an arithmetic number, because the mean of its divisors is an integer number (80234698635).

Almost surely, 2^{12200032400000} is an apocalyptic number.

12200032400000 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 12200032400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405062137920).

12200032400000 is an abundant number, since it is smaller than the sum of its proper divisors (18610091875840).

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

12200032400000 is an frugal number, since it uses more digits than its factorization.

12200032400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12200032400000 its reverse (423000221), we get a palindrome (12200455400221).

The spelling of 12200032400000 in words is "twelve trillion, two hundred billion, thirty-two million, four hundred thousand".