321422949120 has 288 divisors, whose sum is σ = 1263440812032. Its totient is φ = 67816636416.

The previous prime is 321422949119. The next prime is 321422949139. The reversal of 321422949120 is 21949224123.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 110472 + ... + 809351.

It is an arithmetic number, because the mean of its divisors is an integer number (4386947264).

Almost surely, 2^321422949120 is an apocalyptic number.

321422949120 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 321422949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631720406016).

321422949120 is an abundant number, since it is smaller than the sum of its proper divisors (942017862912).

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

321422949120 is a wasteful number, since it uses less digits than its factorization.

321422949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919867 (or 919853 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 321422949120 in words is "three hundred twenty-one billion, four hundred twenty-two million, nine hundred forty-nine thousand, one hundred twenty".