1003122021120 has 288 divisors, whose sum is σ = 3241260997632. Its totient is φ = 264376713216.

The previous prime is 1003122021073. The next prime is 1003122021133. The reversal of 1003122021120 is 211202213001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003122021120.

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 31 ways as a sum of consecutive naturals, for example, 190234804 + ... + 190240076.

It is an arithmetic number, because the mean of its divisors is an integer number (11254378464).

Almost surely, 2^{1003122021120} is an apocalyptic number.

1003122021120 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 1003122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620630498816).

1003122021120 is an abundant number, since it is smaller than the sum of its proper divisors (2238138976512).

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

1003122021120 is a wasteful number, since it uses less digits than its factorization.

1003122021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1003122021120 its reverse (211202213001), we get a palindrome (1214324234121).

The spelling of 1003122021120 in words is "one trillion, three billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".