12011002120 has 128 divisors (see below), whose sum is σ = 29713068000. Its totient is φ = 4342947840.

The previous prime is 12011002097. The next prime is 12011002151. The reversal of 12011002120 is 2120011021.

It can be written as a sum of positive squares in 16 ways, for example, as 1162946404 + 10848055716 = 34102^2 + 104154^2 .

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 = 12011002097 and 12011002106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5043330 + ... + 5045710.

Almost surely, 2^12011002120 is an apocalyptic number.

12011002120 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 12011002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856534000).

12011002120 is an abundant number, since it is smaller than the sum of its proper divisors (17702065880).

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

12011002120 is a wasteful number, since it uses less digits than its factorization.

12011002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2599 counting only the distinct ones).

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

Adding to 12011002120 its reverse (2120011021), we get a palindrome (14131013141).

The spelling of 12011002120 in words is "twelve billion, eleven million, two thousand, one hundred twenty".