1001222122000 has 80 divisors (see below), whose sum is σ = 2422813715712. Its totient is φ = 400181385600.

The previous prime is 1001222121979. The next prime is 1001222122003. The reversal of 1001222122000 is 2212221001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1001222122003) 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 15 ways as a sum of consecutive naturals, for example, 2422489 + ... + 2805511.

Almost surely, 2^{1001222122000} is an apocalyptic number.

1001222122000 is a gapful number since it is divisible by the number (10) 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 1001222122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211406857856).

1001222122000 is an abundant number, since it is smaller than the sum of its proper divisors (1421591593712).

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

1001222122000 is a wasteful number, since it uses less digits than its factorization.

1001222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384353 (or 384337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1001222122000 its reverse (2212221001), we get a palindrome (1003434343001).

Subtracting from 1001222122000 its reverse (2212221001), we obtain a palindrome (999009900999).

The spelling of 1001222122000 in words is "one trillion, one billion, two hundred twenty-two million, one hundred twenty-two thousand".