322101120 has 256 divisors, whose sum is σ = 1138613760. Its totient is φ = 76800000.

The previous prime is 322101113. The next prime is 322101127. The reversal of 322101120 is 21101223.

It is an interprime number because it is at equal distance from previous prime (322101113) and next prime (322101127).

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 = 322101096 and 322101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322101127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133045 + ... + 2133195.

It is an arithmetic number, because the mean of its divisors is an integer number (4447710).

Almost surely, 2^322101120 is an apocalyptic number.

322101120 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 322101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569306880).

322101120 is an abundant number, since it is smaller than the sum of its proper divisors (816512640).

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

322101120 is a wasteful number, since it uses less digits than its factorization.

322101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

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

The square root of 322101120 is about 17947.1758223961. The cubic root of 322101120 is about 685.4841410197.

Adding to 322101120 its reverse (21101223), we get a palindrome (343202343).

The spelling of 322101120 in words is "three hundred twenty-two million, one hundred one thousand, one hundred twenty".