1223856000 has 256 divisors, whose sum is σ = 4509460800. Its totient is φ = 326246400.

The previous prime is 1223855957. The next prime is 1223856001. The reversal of 1223856000 is 6583221.

1223856000 is a `hidden beast` number, since 1 + 22 + 38 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223856001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 430584 + ... + 433416.

Almost surely, 2^1223856000 is an apocalyptic number.

1223856000 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 1223856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254730400).

1223856000 is an abundant number, since it is smaller than the sum of its proper divisors (3285604800).

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

1223856000 is an equidigital number, since it uses as much as digits as its factorization.

1223856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1223856000 is about 34983.6533255176. The cubic root of 1223856000 is about 1069.6542977302.

The spelling of 1223856000 in words is "one billion, two hundred twenty-three million, eight hundred fifty-six thousand".