1000221552000 has 384 divisors, whose sum is σ = 3918601458720. Its totient is φ = 242477568000.

The previous prime is 1000221551993. The next prime is 1000221552023. The reversal of 1000221552000 is 2551220001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1268274 + ... + 1899726.

Almost surely, 2^{1000221552000} is an apocalyptic number.

1000221552000 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 1000221552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959300729360).

1000221552000 is an abundant number, since it is smaller than the sum of its proper divisors (2918379906720).

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

1000221552000 is a wasteful number, since it uses less digits than its factorization.

1000221552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631499 (or 631474 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 1000221552000 its reverse (2551220001), we get a palindrome (1002772772001).

The spelling of 1000221552000 in words is "one trillion, two hundred twenty-one million, five hundred fifty-two thousand".