12101200320 has 336 divisors, whose sum is σ = 44462517120. Its totient is φ = 2778716160.

The previous prime is 12101200283. The next prime is 12101200343. The reversal of 12101200320 is 2300210121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12101200296 and 12101200305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2204299 + ... + 2209781.

It is an arithmetic number, because the mean of its divisors is an integer number (132328920).

Almost surely, 2^12101200320 is an apocalyptic number.

12101200320 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 12101200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22231258560).

12101200320 is an abundant number, since it is smaller than the sum of its proper divisors (32361316800).

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

12101200320 is a wasteful number, since it uses less digits than its factorization.

12101200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5544 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12101200320 its reverse (2300210121), we get a palindrome (14401410441).

The spelling of 12101200320 in words is "twelve billion, one hundred one million, two hundred thousand, three hundred twenty".