2122002000000 has 336 divisors, whose sum is σ = 7632819290850. Its totient is φ = 565862400000.

The previous prime is 2122001999977. The next prime is 2122002000007. The reversal of 2122002000000 is 2002212.

It can be written as a sum of positive squares in 7 ways, for example, as 1370978708544 + 751023291456 = 1170888^2 + 866616^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2122002000007) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 17941056 + ... + 18058944.

Almost surely, 2^{2122002000000} is an apocalyptic number.

2122002000000 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 2122002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816409645425).

2122002000000 is an abundant number, since it is smaller than the sum of its proper divisors (5510817290850).

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

2122002000000 is an frugal number, since it uses more digits than its factorization.

2122002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117939 (or 117899 counting only the distinct ones).

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

Adding to 2122002000000 its reverse (2002212), we get a palindrome (2122004002212).

The spelling of 2122002000000 in words is "two trillion, one hundred twenty-two billion, two million", and thus it is an aban number.