1003123332120 has 256 divisors, whose sum is σ = 3704675466240. Its totient is φ = 211600263168.

The previous prime is 1003123332109. The next prime is 1003123332163. The reversal of 1003123332120 is 212333213001.

1003123332120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70175694 + ... + 70189986.

It is an arithmetic number, because the mean of its divisors is an integer number (14471388540).

Almost surely, 2^{1003123332120} is an apocalyptic number.

1003123332120 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 1003123332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852337733120).

1003123332120 is an abundant number, since it is smaller than the sum of its proper divisors (2701552134120).

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

1003123332120 is a wasteful number, since it uses less digits than its factorization.

1003123332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20754 (or 20750 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1003123332120 its reverse (212333213001), we get a palindrome (1215456545121).

The spelling of 1003123332120 in words is "one trillion, three billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty".