2002121120 has 48 divisors (see below), whose sum is σ = 4733533728. Its totient is φ = 800252160.

The previous prime is 2002121071. The next prime is 2002121129. The reversal of 2002121120 is 211212002.

It is a happy number.

It is a super-3 number, since 3×2002121120³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002121129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 256475 + ... + 264165.

It is an arithmetic number, because the mean of its divisors is an integer number (98615286).

Almost surely, 2^2002121120 is an apocalyptic number.

2002121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121120 is an abundant number, since it is smaller than the sum of its proper divisors (2731412608).

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

2002121120 is a wasteful number, since it uses less digits than its factorization.

2002121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2002121120 is about 44745.0681081167. The cubic root of 2002121120 is about 1260.3662998168.

Adding to 2002121120 its reverse (211212002), we get a palindrome (2213333122).

The spelling of 2002121120 in words is "two billion, two million, one hundred twenty-one thousand, one hundred twenty".