1223504000 has 128 divisors (see below), whose sum is σ = 3108568320. Its totient is φ = 478694400.

The previous prime is 1223503979. The next prime is 1223504011. The reversal of 1223504000 is 4053221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1223504000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 751187 + ... + 752813.

It is an arithmetic number, because the mean of its divisors is an integer number (24285690).

Almost surely, 2^1223504000 is an apocalyptic number.

1223504000 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 1223504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554284160).

1223504000 is an abundant number, since it is smaller than the sum of its proper divisors (1885064320).

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

1223504000 is an equidigital number, since it uses as much as digits as its factorization.

1223504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1223504000 is about 34978.6220426134. The cubic root of 1223504000 is about 1069.5517381655.

Adding to 1223504000 its reverse (4053221), we get a palindrome (1227557221).

The spelling of 1223504000 in words is "one billion, two hundred twenty-three million, five hundred four thousand".