1003221351220 has 192 divisors, whose sum is σ = 2481627601152. Its totient is φ = 336567296000.

The previous prime is 1003221351149. The next prime is 1003221351221. The reversal of 1003221351220 is 221531223001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1003221351191 and 1003221351200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003221351221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382761510 + ... + 382764130.

It is an arithmetic number, because the mean of its divisors is an integer number (12925143756).

Almost surely, 2^{1003221351220} is an apocalyptic number.

1003221351220 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 1003221351220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240813800576).

1003221351220 is an abundant number, since it is smaller than the sum of its proper divisors (1478406249932).

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

1003221351220 is a wasteful number, since it uses less digits than its factorization.

1003221351220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 1003221351220 its reverse (221531223001), we get a palindrome (1224752574221).

The spelling of 1003221351220 in words is "one trillion, three billion, two hundred twenty-one million, three hundred fifty-one thousand, two hundred twenty".