2122022032002 has 48 divisors (see below), whose sum is σ = 4601321730720. Its totient is φ = 706785944256.

The previous prime is 2122022032001. The next prime is 2122022032019. The reversal of 2122022032002 is 2002302202212.

2122022032002 is a `hidden beast` number, since 2 + 122 + 0 + 220 + 320 + 0 + 2 = 666.

It is a super-2 number, since 2×2122022032002² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2122022032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150951358 + ... + 150965414.

It is an arithmetic number, because the mean of its divisors is an integer number (95860869390).

Almost surely, 2^{2122022032002} is an apocalyptic number.

2122022032002 is an abundant number, since it is smaller than the sum of its proper divisors (2479299698718).

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

2122022032002 is a wasteful number, since it uses less digits than its factorization.

2122022032002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20047 (or 20044 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2122022032002 its reverse (2002302202212), we get a palindrome (4124324234214).

The spelling of 2122022032002 in words is "two trillion, one hundred twenty-two billion, twenty-two million, thirty-two thousand, two".