321012120 has 192 divisors, whose sum is σ = 1138406400. Its totient is φ = 71784960.

The previous prime is 321012119. The next prime is 321012121. The reversal of 321012120 is 21210123.

It is an interprime number because it is at equal distance from previous prime (321012119) and next prime (321012121).

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

It is a junction number, because it is equal to n+sod(n) for n = 321012096 and 321012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321012121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222361 + ... + 223799.

It is an arithmetic number, because the mean of its divisors is an integer number (5929200).

Almost surely, 2^321012120 is an apocalyptic number.

321012120 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 321012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569203200).

321012120 is an abundant number, since it is smaller than the sum of its proper divisors (817394280).

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

321012120 is a wasteful number, since it uses less digits than its factorization.

321012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 321012120 is about 17916.8111001930. The cubic root of 321012120 is about 684.7107450836.

Adding to 321012120 its reverse (21210123), we get a palindrome (342222243).

The spelling of 321012120 in words is "three hundred twenty-one million, twelve thousand, one hundred twenty".