2002012200000 has 420 divisors, whose sum is σ = 7417824424164. Its totient is φ = 533865600000.

The previous prime is 2002012199977. The next prime is 2002012200047. The reversal of 2002012200000 is 22102002.

It can be written as a sum of positive squares in 6 ways, for example, as 1650628813824 + 351383386176 = 1284768^2 + 592776^2 .

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 16138210 + ... + 16261790.

Almost surely, 2^{2002012200000} is an apocalyptic number.

2002012200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708912212082).

2002012200000 is an abundant number, since it is smaller than the sum of its proper divisors (5415812224164).

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

2002012200000 is an frugal number, since it uses more digits than its factorization.

2002012200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123630 (or 123591 counting only the distinct ones).

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

Adding to 2002012200000 its reverse (22102002), we get a palindrome (2002034302002).

The spelling of 2002012200000 in words is "two trillion, two billion, twelve million, two hundred thousand".