1030221312 has 80 divisors (see below), whose sum is σ = 2752688400. Its totient is φ = 342392832.

The previous prime is 1030221299. The next prime is 1030221319. The reversal of 1030221312 is 2131220301.

It is a super-2 number, since 2×1030221312² = 2122711903398002688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030221291 and 1030221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030221319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664314 + ... + 665862.

It is an arithmetic number, because the mean of its divisors is an integer number (34408605).

Almost surely, 2^1030221312 is an apocalyptic number.

1030221312 is a gapful number since it is divisible by the number (12) 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 1030221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376344200).

1030221312 is an abundant number, since it is smaller than the sum of its proper divisors (1722467088).

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

1030221312 is an equidigital number, since it uses as much as digits as its factorization.

1030221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1030221312 is about 32097.0608000172. The cubic root of 1030221312 is about 1009.9739600514.

Adding to 1030221312 its reverse (2131220301), we get a palindrome (3161441613).

The spelling of 1030221312 in words is "one billion, thirty million, two hundred twenty-one thousand, three hundred twelve".