1002223231020 has 432 divisors, whose sum is σ = 3388535972640. Its totient is φ = 239564666880.

The previous prime is 1002223230997. The next prime is 1002223231049. The reversal of 1002223231020 is 201323222001.

1002223231020 is a `hidden beast` number, since 100 + 2 + 2 + 232 + 310 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002223230984 and 1002223231002.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1323940482 + ... + 1323941238.

It is an arithmetic number, because the mean of its divisors is an integer number (7843833270).

Almost surely, 2^{1002223231020} is an apocalyptic number.

1002223231020 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 1002223231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694267986320).

1002223231020 is an abundant number, since it is smaller than the sum of its proper divisors (2386312741620).

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

1002223231020 is a wasteful number, since it uses less digits than its factorization.

1002223231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1002223231020 its reverse (201323222001), we get a palindrome (1203546453021).

The spelling of 1002223231020 in words is "one trillion, two billion, two hundred twenty-three million, two hundred thirty-one thousand, twenty".