12120225040 has 160 divisors (see below), whose sum is σ = 35615506176. Its totient is φ = 3725844480.

The previous prime is 12120224983. The next prime is 12120225053. The reversal of 12120225040 is 4052202121.

12120225040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12120224999 and 12120225017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436204 + ... + 463156.

Almost surely, 2^12120225040 is an apocalyptic number.

12120225040 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 12120225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807753088).

12120225040 is an abundant number, since it is smaller than the sum of its proper divisors (23495281136).

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

12120225040 is a wasteful number, since it uses less digits than its factorization.

12120225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27057 (or 27051 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 12120225040 its reverse (4052202121), we get a palindrome (16172427161).

The spelling of 12120225040 in words is "twelve billion, one hundred twenty million, two hundred twenty-five thousand, forty".