1123984512 has 320 divisors, whose sum is σ = 4052125440. Its totient is φ = 301916160.

The previous prime is 1123984507. The next prime is 1123984541. The reversal of 1123984512 is 2154893211.

1123984512 is a `hidden beast` number, since 112 + 3 + 98 + 451 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1233337 + ... + 1234247.

It is an arithmetic number, because the mean of its divisors is an integer number (12662892).

Almost surely, 2^1123984512 is an apocalyptic number.

1123984512 is a gapful number since it is divisible by the number (12) 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 1123984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026062720).

1123984512 is an abundant number, since it is smaller than the sum of its proper divisors (2928140928).

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

1123984512 is an equidigital number, since it uses as much as digits as its factorization.

1123984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 940 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1123984512 is about 33525.8782435300. The cubic root of 1123984512 is about 1039.7288839644.

The spelling of 1123984512 in words is "one billion, one hundred twenty-three million, nine hundred eighty-four thousand, five hundred twelve".