1322112120 has 384 divisors, whose sum is σ = 4865702400. Its totient is φ = 286239744.

The previous prime is 1322112101. The next prime is 1322112137. The reversal of 1322112120 is 212112231.

1322112120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1322112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12835989 + ... + 12836091.

It is an arithmetic number, because the mean of its divisors is an integer number (12671100).

Almost surely, 2^1322112120 is an apocalyptic number.

1322112120 is a gapful number since it is divisible by the number (10) 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 1322112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432851200).

1322112120 is an abundant number, since it is smaller than the sum of its proper divisors (3543590280).

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

1322112120 is a wasteful number, since it uses less digits than its factorization.

1322112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1322112120 is about 36360.8597258096. The cubic root of 1322112120 is about 1097.5460779771.

Adding to 1322112120 its reverse (212112231), we get a palindrome (1534224351).

The spelling of 1322112120 in words is "one billion, three hundred twenty-two million, one hundred twelve thousand, one hundred twenty".