12300220100320 has 384 divisors, whose sum is σ = 31524292800000. Its totient is φ = 4520265523200.

The previous prime is 12300220100303. The next prime is 12300220100383. The reversal of 12300220100320 is 2300102200321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12300220100294 and 12300220100303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17546675970 + ... + 17546676670.

It is an arithmetic number, because the mean of its divisors is an integer number (82094512500).

Almost surely, 2^{12300220100320} is an apocalyptic number.

12300220100320 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 12300220100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762146400000).

12300220100320 is an abundant number, since it is smaller than the sum of its proper divisors (19224072699680).

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

12300220100320 is a wasteful number, since it uses less digits than its factorization.

12300220100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12300220100320 its reverse (2300102200321), we get a palindrome (14600322300641).

The spelling of 12300220100320 in words is "twelve trillion, three hundred billion, two hundred twenty million, one hundred thousand, three hundred twenty".