12200001120 has 288 divisors, whose sum is σ = 43493617440. Its totient is φ = 3110952960.

The previous prime is 12200001089. The next prime is 12200001167. The reversal of 12200001120 is 2110000221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 3141580 + ... + 3145460.

It is an arithmetic number, because the mean of its divisors is an integer number (151019505).

Almost surely, 2^12200001120 is an apocalyptic number.

12200001120 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 12200001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21746808720).

12200001120 is an abundant number, since it is smaller than the sum of its proper divisors (31293616320).

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

12200001120 is a wasteful number, since it uses less digits than its factorization.

12200001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200001120 its reverse (2110000221), we get a palindrome (14310001341).

The spelling of 12200001120 in words is "twelve billion, two hundred million, one thousand, one hundred twenty".