322123898880 has 1008 divisors, whose sum is σ = 1376653660200. Its totient is φ = 69231181824.

The previous prime is 322123898867. The next prime is 322123898891. The reversal of 322123898880 is 88898321223.

It is a happy number.

322123898880 is a `hidden beast` number, since 322 + 1 + 238 + 9 + 8 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 320156798976 + 1967099904 = 565824^2 + 44352^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307076596 + ... + 307077644.

Almost surely, 2^322123898880 is an apocalyptic number.

322123898880 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 322123898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688326830100).

322123898880 is an abundant number, since it is smaller than the sum of its proper divisors (1054529761320).

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

322123898880 is a wasteful number, since it uses less digits than its factorization.

322123898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 322123898880 in words is "three hundred twenty-two billion, one hundred twenty-three million, eight hundred ninety-eight thousand, eight hundred eighty".