2122001323002 has 192 divisors, whose sum is σ = 5356445552640. Its totient is φ = 600336748800.

The previous prime is 2122001322971. The next prime is 2122001323007. The reversal of 2122001323002 is 2003231002212.

2122001323002 is a `hidden beast` number, since 212 + 20 + 0 + 132 + 300 + 2 = 666.

It is a super-2 number, since 2×2122001323002² (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 (2122001323007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430336477 + ... + 430341407.

It is an arithmetic number, because the mean of its divisors is an integer number (27898153920).

Almost surely, 2^{2122001323002} is an apocalyptic number.

2122001323002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122001323002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678222776320).

2122001323002 is an abundant number, since it is smaller than the sum of its proper divisors (3234444229638).

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

2122001323002 is a wasteful number, since it uses less digits than its factorization.

2122001323002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2122001323002 its reverse (2003231002212), we get a palindrome (4125232325214).

The spelling of 2122001323002 in words is "two trillion, one hundred twenty-two billion, one million, three hundred twenty-three thousand, two".