2220120403242 has 96 divisors (see below), whose sum is σ = 5394404500992. Its totient is φ = 606217129056.

The previous prime is 2220120403213. The next prime is 2220120403247. The reversal of 2220120403242 is 2423040210222.

2220120403242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2220120403242² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220120403247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7723053 + ... + 8005359.

It is an arithmetic number, because the mean of its divisors is an integer number (56191713552).

Almost surely, 2^{2220120403242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220120403242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697202250496).

2220120403242 is an abundant number, since it is smaller than the sum of its proper divisors (3174284097750).

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

2220120403242 is a wasteful number, since it uses less digits than its factorization.

2220120403242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283512 (or 283505 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2220120403242 its reverse (2423040210222), we get a palindrome (4643160613464).

The spelling of 2220120403242 in words is "two trillion, two hundred twenty billion, one hundred twenty million, four hundred three thousand, two hundred forty-two".