1123312320 has 448 divisors, whose sum is σ = 4357664640. Its totient is φ = 270729216.

The previous prime is 1123312313. The next prime is 1123312367. The reversal of 1123312320 is 232133211.

1123312320 is a `hidden beast` number, since 1 + 12 + 331 + 2 + 320 = 666.

It is a super-3 number, since 3×1123312320³ (a number of 28 digits) contains 333 as substring.

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 = 1123312293 and 1123312302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8199292 + ... + 8199428.

It is an arithmetic number, because the mean of its divisors is an integer number (9726930).

Almost surely, 2^1123312320 is an apocalyptic number.

1123312320 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 1123312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178832320).

1123312320 is an abundant number, since it is smaller than the sum of its proper divisors (3234352320).

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

1123312320 is a wasteful number, since it uses less digits than its factorization.

1123312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

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

The square root of 1123312320 is about 33515.8517719601. The cubic root of 1123312320 is about 1039.5215748184.

Adding to 1123312320 its reverse (232133211), we get a palindrome (1355445531).

The spelling of 1123312320 in words is "one billion, one hundred twenty-three million, three hundred twelve thousand, three hundred twenty".