12200123520 has 576 divisors, whose sum is σ = 46473860160. Its totient is φ = 2947276800.

The previous prime is 12200123513. The next prime is 12200123521. The reversal of 12200123520 is 2532100221.

12200123520 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 123 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 12200123493 and 12200123502.

It is not an unprimeable number, because it can be changed into a prime (12200123521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80795445 + ... + 80795595.

It is an arithmetic number, because the mean of its divisors is an integer number (80683785).

Almost surely, 2^12200123520 is an apocalyptic number.

12200123520 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 12200123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236930080).

12200123520 is an abundant number, since it is smaller than the sum of its proper divisors (34273736640).

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

12200123520 is a wasteful number, since it uses less digits than its factorization.

12200123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12200123520 its reverse (2532100221), we get a palindrome (14732223741).

The spelling of 12200123520 in words is "twelve billion, two hundred million, one hundred twenty-three thousand, five hundred twenty".