1213312320 has 168 divisors, whose sum is σ = 4552797600. Its totient is φ = 294128640.

The previous prime is 1213312297. The next prime is 1213312327. The reversal of 1213312320 is 232133121.

1213312320 is a `hidden beast` number, since 12 + 1 + 331 + 2 + 320 = 666.

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 = 1213312293 and 1213312302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213312327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12531 + ... + 50829.

Almost surely, 2^1213312320 is an apocalyptic number.

1213312320 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 1213312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276398800).

1213312320 is an abundant number, since it is smaller than the sum of its proper divisors (3339485280).

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

1213312320 is a wasteful number, since it uses less digits than its factorization.

1213312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38333 (or 38320 counting only the distinct ones).

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

The square root of 1213312320 is about 34832.6329754155. The cubic root of 1213312320 is about 1066.5736967582.

Adding to 1213312320 its reverse (232133121), we get a palindrome (1445445441).

The spelling of 1213312320 in words is "one billion, two hundred thirteen million, three hundred twelve thousand, three hundred twenty".