1003104222120 has 768 divisors, whose sum is σ = 4382747066880. Its totient is φ = 192159129600.

The previous prime is 1003104222101. The next prime is 1003104222149. The reversal of 1003104222120 is 212224013001.

It is a happy number.

1003104222120 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 0 + 422 + 212 + 0 = 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 = 1003104222093 and 1003104222102.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 425583982 + ... + 425586338.

It is an arithmetic number, because the mean of its divisors is an integer number (5706701910).

Almost surely, 2^{1003104222120} is an apocalyptic number.

1003104222120 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 1003104222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191373533440).

1003104222120 is an abundant number, since it is smaller than the sum of its proper divisors (3379642844760).

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

1003104222120 is a wasteful number, since it uses less digits than its factorization.

1003104222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1003104222120 its reverse (212224013001), we get a palindrome (1215328235121).

The spelling of 1003104222120 in words is "one trillion, three billion, one hundred four million, two hundred twenty-two thousand, one hundred twenty".