1002333001120 has 192 divisors, whose sum is σ = 2746180402560. Its totient is φ = 341881344000.

The previous prime is 1002333001093. The next prime is 1002333001121. The reversal of 1002333001120 is 211003332001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1002333001094 and 1002333001103.

It is not an unprimeable number, because it can be changed into a prime (1002333001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3229054 + ... + 3525826.

It is an arithmetic number, because the mean of its divisors is an integer number (14303022930).

Almost surely, 2^{1002333001120} is an apocalyptic number.

1002333001120 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 1002333001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373090201280).

1002333001120 is an abundant number, since it is smaller than the sum of its proper divisors (1743847401440).

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

1002333001120 is a wasteful number, since it uses less digits than its factorization.

1002333001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296919 (or 296911 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1002333001120 its reverse (211003332001), we get a palindrome (1213336333121).

The spelling of 1002333001120 in words is "one trillion, two billion, three hundred thirty-three million, one thousand, one hundred twenty".