1224234000 has 480 divisors, whose sum is σ = 4858439040. Its totient is φ = 295488000.

The previous prime is 1224233999. The next prime is 1224234013. The reversal of 1224234000 is 4324221.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 5345886 + ... + 5346114.

It is an arithmetic number, because the mean of its divisors is an integer number (10121748).

Almost surely, 2^1224234000 is an apocalyptic number.

1224234000 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 1224234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429219520).

1224234000 is an abundant number, since it is smaller than the sum of its proper divisors (3634205040).

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

1224234000 is a wasteful number, since it uses less digits than its factorization.

1224234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1224234000 is about 34989.0554316632. The cubic root of 1224234000 is about 1069.7644108221.

Adding to 1224234000 its reverse (4324221), we get a palindrome (1228558221).

The spelling of 1224234000 in words is "one billion, two hundred twenty-four million, two hundred thirty-four thousand".