12120001100200 has 96 divisors (see below), whose sum is σ = 32224924258560. Its totient is φ = 4152803155200.

The previous prime is 12120001100159. The next prime is 12120001100201. The reversal of 12120001100200 is 200110002121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12120001100201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518211 + ... + 4950610.

It is an arithmetic number, because the mean of its divisors is an integer number (335676294360).

Almost surely, 2^{12120001100200} is an apocalyptic number.

12120001100200 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 12120001100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112462129280).

12120001100200 is an abundant number, since it is smaller than the sum of its proper divisors (20104923158360).

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

12120001100200 is a wasteful number, since it uses less digits than its factorization.

12120001100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470427 (or 5470418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12120001100200 its reverse (200110002121), we get a palindrome (12320111102321).

The spelling of 12120001100200 in words is "twelve trillion, one hundred twenty billion, one million, one hundred thousand, two hundred".