2122333002006 has 128 divisors (see below), whose sum is σ = 5035554349056. Its totient is φ = 583736751360.

The previous prime is 2122333001989. The next prime is 2122333002017. The reversal of 2122333002006 is 6002003332212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207112375 + ... + 207122621.

It is an arithmetic number, because the mean of its divisors is an integer number (39340268352).

Almost surely, 2^{2122333002006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122333002006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517777174528).

2122333002006 is an abundant number, since it is smaller than the sum of its proper divisors (2913221347050).

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

2122333002006 is a wasteful number, since it uses less digits than its factorization.

2122333002006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2122333002006 its reverse (6002003332212), we get a palindrome (8124336334218).

The spelling of 2122333002006 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-three million, two thousand, six".