1322331120 has 240 divisors, whose sum is σ = 4874688000. Its totient is φ = 318574080.

The previous prime is 1322331113. The next prime is 1322331137. The reversal of 1322331120 is 211332231.

1322331120 is a `hidden beast` number, since 1 + 322 + 331 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1322331093 and 1322331102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575661 + ... + 1576499.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^1322331120 is an apocalyptic number.

1322331120 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 1322331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344000).

1322331120 is an abundant number, since it is smaller than the sum of its proper divisors (3552356880).

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

1322331120 is a wasteful number, since it uses less digits than its factorization.

1322331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1322331120 is about 36363.8710810607. The cubic root of 1322331120 is about 1097.6066752888.

Adding to 1322331120 its reverse (211332231), we get a palindrome (1533663351).

The spelling of 1322331120 in words is "one billion, three hundred twenty-two million, three hundred thirty-one thousand, one hundred twenty".