12002022100000 has 144 divisors (see below), whose sum is σ = 31271654251656. Its totient is φ = 4518407680000.

The previous prime is 12002022099979. The next prime is 12002022100039. The reversal of 12002022100000 is 122020021.

It can be written as a sum of positive squares in 12 ways, for example, as 7649140741264 + 4352881358736 = 2765708^2 + 2086356^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12002022100000.

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 23 ways as a sum of consecutive naturals, for example, 1830007 + ... + 5230006.

Almost surely, 2^{12002022100000} is an apocalyptic number.

12002022100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002022100000 is an abundant number, since it is smaller than the sum of its proper divisors (19269632151656).

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

12002022100000 is an frugal number, since it uses more digits than its factorization.

12002022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060065 (or 7060037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002022100000 its reverse (122020021), we get a palindrome (12002144120021).

The spelling of 12002022100000 in words is "twelve trillion, two billion, twenty-two million, one hundred thousand".