2012120442 has 96 divisors (see below), whose sum is σ = 4690483200. Its totient is φ = 621181440.

The previous prime is 2012120437. The next prime is 2012120447. The reversal of 2012120442 is 2440212102.

2012120442 is a `hidden beast` number, since 201 + 2 + 1 + 20 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (2012120437) and next prime (2012120447).

It is a super-2 number, since 2×2012120442² = 8097257346228550728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012120447) 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, 10111059 + ... + 10111257.

It is an arithmetic number, because the mean of its divisors is an integer number (48859200).

Almost surely, 2^2012120442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012120442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345241600).

2012120442 is an abundant number, since it is smaller than the sum of its proper divisors (2678362758).

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

2012120442 is a wasteful number, since it uses less digits than its factorization.

2012120442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2012120442 is about 44856.6655247579. The cubic root of 2012120442 is about 1262.4610591133.

Adding to 2012120442 its reverse (2440212102), we get a palindrome (4452332544).

The spelling of 2012120442 in words is "two billion, twelve million, one hundred twenty thousand, four hundred forty-two".