12223201000320 has 256 divisors, whose sum is σ = 43379425612800. Its totient is φ = 3252824967168.

The previous prime is 12223201000313. The next prime is 12223201000327. The reversal of 12223201000320 is 2300010232221.

12223201000320 is a `hidden beast` number, since 1 + 2 + 22 + 320 + 1 + 0 + 0 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (12223201000313) and next prime (12223201000327).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12223201000293 and 12223201000302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223201000327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7689117 + ... + 9141603.

It is an arithmetic number, because the mean of its divisors is an integer number (169450881300).

Almost surely, 2^{12223201000320} is an apocalyptic number.

12223201000320 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 12223201000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21689712806400).

12223201000320 is an abundant number, since it is smaller than the sum of its proper divisors (31156224612480).

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

12223201000320 is a wasteful number, since it uses less digits than its factorization.

12223201000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453002 (or 1452984 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12223201000320 its reverse (2300010232221), we get a palindrome (14523211232541).

The spelling of 12223201000320 in words is "twelve trillion, two hundred twenty-three billion, two hundred one million, three hundred twenty", and thus it is an aban number.