3221123001000 has 128 divisors (see below), whose sum is σ = 10053984245760. Its totient is φ = 858617376000.

The previous prime is 3221123000989. The next prime is 3221123001017. The reversal of 3221123001000 is 1003211223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7214265 + ... + 7647735.

It is an arithmetic number, because the mean of its divisors is an integer number (78546751920).

Almost surely, 2^{3221123001000} is an apocalyptic number.

3221123001000 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 3221123001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026992122880).

3221123001000 is an abundant number, since it is smaller than the sum of its proper divisors (6832861244760).

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

3221123001000 is a wasteful number, since it uses less digits than its factorization.

3221123001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435972 (or 435958 counting only the distinct ones).

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

Adding to 3221123001000 its reverse (1003211223), we get a palindrome (3222126212223).

The spelling of 3221123001000 in words is "three trillion, two hundred twenty-one billion, one hundred twenty-three million, one thousand".