1223653200 has 960 divisors, whose sum is σ = 5579642880. Its totient is φ = 221184000.

The previous prime is 1223653169. The next prime is 1223653201. The reversal of 1223653200 is 23563221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223653201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29845180 + ... + 29845220.

It is an arithmetic number, because the mean of its divisors is an integer number (5812128).

Almost surely, 2^1223653200 is an apocalyptic number.

1223653200 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 1223653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789821440).

1223653200 is an abundant number, since it is smaller than the sum of its proper divisors (4355989680).

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

1223653200 is a wasteful number, since it uses less digits than its factorization.

1223653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1223653200 is about 34980.7547088395. The cubic root of 1223653200 is about 1069.5952118371.

The spelling of 1223653200 in words is "one billion, two hundred twenty-three million, six hundred fifty-three thousand, two hundred".