1321233120 has 240 divisors, whose sum is σ = 4715404848. Its totient is φ = 348364800.

The previous prime is 1321233103. The next prime is 1321233139. The reversal of 1321233120 is 213321231.

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 = 1321233093 and 1321233102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1256595 + ... + 1257645.

Almost surely, 2^1321233120 is an apocalyptic number.

1321233120 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 1321233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357702424).

1321233120 is an abundant number, since it is smaller than the sum of its proper divisors (3394171728).

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

1321233120 is a wasteful number, since it uses less digits than its factorization.

1321233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1158 counting only the distinct ones).

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

The square root of 1321233120 is about 36348.7705431697. The cubic root of 1321233120 is about 1097.3027912774.

Adding to 1321233120 its reverse (213321231), we get a palindrome (1534554351).

The spelling of 1321233120 in words is "one billion, three hundred twenty-one million, two hundred thirty-three thousand, one hundred twenty".