12111021200 has 120 divisors (see below), whose sum is σ = 29634910536. Its totient is φ = 4755456000.

The previous prime is 12111021163. The next prime is 12111021253. The reversal of 12111021200 is 212011121.

It can be written as a sum of positive squares in 12 ways, for example, as 708198544 + 11402822656 = 26612^2 + 106784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7036340 + ... + 7038060.

Almost surely, 2^12111021200 is an apocalyptic number.

12111021200 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 12111021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817455268).

12111021200 is an abundant number, since it is smaller than the sum of its proper divisors (17523889336).

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

12111021200 is a wasteful number, since it uses less digits than its factorization.

12111021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12111021200 its reverse (212011121), we get a palindrome (12323032321).

The spelling of 12111021200 in words is "twelve billion, one hundred eleven million, twenty-one thousand, two hundred".