2002122000 has 120 divisors (see below), whose sum is σ = 6992807640. Its totient is φ = 533894400.

The previous prime is 2002121999. The next prime is 2002122007. The reversal of 2002122000 is 2212002.

It can be written as a sum of positive squares in 4 ways, for example, as 77369616 + 1924752384 = 8796^2 + 43872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2002122007) 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 23 ways as a sum of consecutive naturals, for example, 37615 + ... + 73614.

It is an arithmetic number, because the mean of its divisors is an integer number (58273397).

Almost surely, 2^2002122000 is an apocalyptic number.

2002122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002122000 is an abundant number, since it is smaller than the sum of its proper divisors (4990685640).

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

2002122000 is a wasteful number, since it uses less digits than its factorization.

2002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111258 (or 111239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002122000 is about 44745.0779416016. The cubic root of 2002122000 is about 1260.3664844746.

Adding to 2002122000 its reverse (2212002), we get a palindrome (2004334002).

The spelling of 2002122000 in words is "two billion, two million, one hundred twenty-two thousand".