2002122120222 has 192 divisors, whose sum is σ = 5118886656000. Its totient is φ = 553760064000.

The previous prime is 2002122120133. The next prime is 2002122120241. The reversal of 2002122120222 is 2220212212002.

2002122120222 is a `hidden beast` number, since 20 + 0 + 212 + 212 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002122120195 and 2002122120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279974347 + ... + 279981497.

It is an arithmetic number, because the mean of its divisors is an integer number (26660868000).

Almost surely, 2^{2002122120222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002122120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559443328000).

2002122120222 is an abundant number, since it is smaller than the sum of its proper divisors (3116764535778).

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

2002122120222 is a wasteful number, since it uses less digits than its factorization.

2002122120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799 (or 7796 counting only the distinct ones).

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

Adding to 2002122120222 its reverse (2220212212002), we get a palindrome (4222334332224).

The spelling of 2002122120222 in words is "two trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-two".