1233112320 has 432 divisors, whose sum is σ = 4798265472. Its totient is φ = 289751040.

The previous prime is 1233112267. The next prime is 1233112337. The reversal of 1233112320 is 232113321.

1233112320 is a `hidden beast` number, since 1 + 2 + 331 + 12 + 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 = 1233112293 and 1233112302.

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, 4688509 + ... + 4688771.

It is an arithmetic number, because the mean of its divisors is an integer number (11107096).

Almost surely, 2^1233112320 is an apocalyptic number.

1233112320 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 1233112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399132736).

1233112320 is an abundant number, since it is smaller than the sum of its proper divisors (3565153152).

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

1233112320 is a wasteful number, since it uses less digits than its factorization.

1233112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

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

The square root of 1233112320 is about 35115.6990532725. The cubic root of 1233112320 is about 1072.3442126239.

Adding to 1233112320 its reverse (232113321), we get a palindrome (1465225641).

The spelling of 1233112320 in words is "one billion, two hundred thirty-three million, one hundred twelve thousand, three hundred twenty".