3221130000 has 400 divisors, whose sum is σ = 11658468096. Its totient is φ = 759360000.

The previous prime is 3221129987. The next prime is 3221130001. The reversal of 3221130000 is 311223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3221130001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 14189887 + ... + 14190113.

Almost surely, 2^3221130000 is an apocalyptic number.

3221130000 is a gapful number since it is divisible by the number (30) 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 3221130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829234048).

3221130000 is an abundant number, since it is smaller than the sum of its proper divisors (8437338096).

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

3221130000 is a wasteful number, since it uses less digits than its factorization.

3221130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3221130000 is about 56754.9997797551. Note that the first 3 decimals coincide. The cubic root of 3221130000 is about 1476.8489692216.

Adding to 3221130000 its reverse (311223), we get a palindrome (3221441223).

The spelling of 3221130000 in words is "three billion, two hundred twenty-one million, one hundred thirty thousand".