1001222001024 has 128 divisors (see below), whose sum is σ = 3137470126080. Its totient is φ = 276835553280.

The previous prime is 1001222001007. The next prime is 1001222001053. The reversal of 1001222001024 is 4201002221001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1001222000994 and 1001222001012.

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 15 ways as a sum of consecutive naturals, for example, 5924389 + ... + 6091044.

It is an arithmetic number, because the mean of its divisors is an integer number (24511485360).

Almost surely, 2^{1001222001024} is an apocalyptic number.

1001222001024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1001222001024 is an abundant number, since it is smaller than the sum of its proper divisors (2136248125056).

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

1001222001024 is a wasteful number, since it uses less digits than its factorization.

1001222001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015488 (or 12015476 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1001222001024 its reverse (4201002221001), we get a palindrome (5202224222025).

The spelling of 1001222001024 in words is "one trillion, one billion, two hundred twenty-two million, one thousand, twenty-four".