1001212022000 has 160 divisors (see below), whose sum is σ = 2500277305344. Its totient is φ = 387371808000.

The previous prime is 1001212021987. The next prime is 1001212022033. The reversal of 1001212022000 is 2202121001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 222143747 + ... + 222148253.

Almost surely, 2^{1001212022000} is an apocalyptic number.

1001212022000 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 1001212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250138652672).

1001212022000 is an abundant number, since it is smaller than the sum of its proper divisors (1499065283344).

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

1001212022000 is a wasteful number, since it uses less digits than its factorization.

1001212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001212022000 its reverse (2202121001), we get a palindrome (1003414143001).

Subtracting from 1001212022000 its reverse (2202121001), we obtain a palindrome (999009900999).

The spelling of 1001212022000 in words is "one trillion, one billion, two hundred twelve million, twenty-two thousand".