12102113200320 has 504 divisors, whose sum is σ = 49172261769072. Its totient is φ = 2708163993600.

The previous prime is 12102113200301. The next prime is 12102113200321. The reversal of 12102113200320 is 2300231120121.

12102113200320 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 21 + 1 + 320 + 0 + 320 = 666.

It is a super-2 number, since 2×12102113200320² (a number of 27 digits) contains 22 as substring.

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 = 12102113200293 and 12102113200302.

It is not an unprimeable number, because it can be changed into a prime (12102113200321) 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, 4223710 + ... + 6484130.

Almost surely, 2^{12102113200320} is an apocalyptic number.

12102113200320 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 12102113200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586130884536).

12102113200320 is an abundant number, since it is smaller than the sum of its proper divisors (37070148568752).

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

12102113200320 is a wasteful number, since it uses less digits than its factorization.

12102113200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260481 (or 2260455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12102113200320 its reverse (2300231120121), we get a palindrome (14402344320441).

The spelling of 12102113200320 in words is "twelve trillion, one hundred two billion, one hundred thirteen million, two hundred thousand, three hundred twenty".