12201001120 has 144 divisors (see below), whose sum is σ = 36210150144. Its totient is φ = 3802867200.

The previous prime is 12201001097. The next prime is 12201001123. The reversal of 12201001120 is 2110010221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201001097 and 12201001106.

It is not an unprimeable number, because it can be changed into a prime (12201001123) 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, 90505 + ... + 180535.

It is an arithmetic number, because the mean of its divisors is an integer number (251459376).

Almost surely, 2^12201001120 is an apocalyptic number.

12201001120 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 12201001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105075072).

12201001120 is an abundant number, since it is smaller than the sum of its proper divisors (24009149024).

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

12201001120 is a wasteful number, since it uses less digits than its factorization.

12201001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90075 (or 90056 counting only the distinct ones).

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

Adding to 12201001120 its reverse (2110010221), we get a palindrome (14311011341).

The spelling of 12201001120 in words is "twelve billion, two hundred one million, one thousand, one hundred twenty".