1003332121220 has 96 divisors (see below), whose sum is σ = 2522058819840. Its totient is φ = 330428367360.

The previous prime is 1003332121213. The next prime is 1003332121223. The reversal of 1003332121220 is 221212333001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1003332121192 and 1003332121201.

It is not an unprimeable number, because it can be changed into a prime (1003332121223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3158000 + ... + 3461159.

It is an arithmetic number, because the mean of its divisors is an integer number (26271446040).

Almost surely, 2^{1003332121220} is an apocalyptic number.

1003332121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003332121220 is an abundant number, since it is smaller than the sum of its proper divisors (1518726698620).

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

1003332121220 is a wasteful number, since it uses less digits than its factorization.

1003332121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619245 (or 6619243 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1003332121220 its reverse (221212333001), we get a palindrome (1224544454221).

The spelling of 1003332121220 in words is "one trillion, three billion, three hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty".