2002122120 has 64 divisors (see below), whose sum is σ = 6031584000. Its totient is φ = 531657728.

The previous prime is 2002122049. The next prime is 2002122139. The reversal of 2002122120 is 212212002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002122096 and 2002122105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6225 + ... + 63584.

It is an arithmetic number, because the mean of its divisors is an integer number (94243500).

Almost surely, 2^2002122120 is an apocalyptic number.

2002122120 is a gapful number since it is divisible by the number (20) 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 2002122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015792000).

2002122120 is an abundant number, since it is smaller than the sum of its proper divisors (4029461880).

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

2002122120 is a wasteful number, since it uses less digits than its factorization.

2002122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70062 (or 70058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2002122120 is about 44745.0792825312. The cubic root of 2002122120 is about 1260.3665096552.

Adding to 2002122120 its reverse (212212002), we get a palindrome (2214334122).

The spelling of 2002122120 in words is "two billion, two million, one hundred twenty-two thousand, one hundred twenty".