321322023120 has 160 divisors (see below), whose sum is σ = 1139288866560. Its totient is φ = 73387560960.

The previous prime is 321322023119. The next prime is 321322023131. The reversal of 321322023120 is 21320223123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 2091330 + ... + 2239710.

It is an arithmetic number, because the mean of its divisors is an integer number (7120555416).

Almost surely, 2^321322023120 is an apocalyptic number.

321322023120 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 321322023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569644433280).

321322023120 is an abundant number, since it is smaller than the sum of its proper divisors (817966843440).

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

321322023120 is a wasteful number, since it uses less digits than its factorization.

321322023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149693 (or 149687 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 321322023120 its reverse (21320223123), we get a palindrome (342642246243).

The spelling of 321322023120 in words is "three hundred twenty-one billion, three hundred twenty-two million, twenty-three thousand, one hundred twenty".