3221101312 has 216 divisors, whose sum is σ = 8030508080. Its totient is φ = 1277337600.

The previous prime is 3221101307. The next prime is 3221101339. The reversal of 3221101312 is 2131011223.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7650862 + ... + 7651282.

Almost surely, 2^3221101312 is an apocalyptic number.

3221101312 is a gapful number since it is divisible by the number (32) 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 3221101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015254040).

3221101312 is an abundant number, since it is smaller than the sum of its proper divisors (4809406768).

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

3221101312 is a wasteful number, since it uses less digits than its factorization.

3221101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 3221101312 is about 56754.7470437496. The cubic root of 3221101312 is about 1476.8445848421.

Adding to 3221101312 its reverse (2131011223), we get a palindrome (5352112535).

The spelling of 3221101312 in words is "three billion, two hundred twenty-one million, one hundred one thousand, three hundred twelve".