1204224000 has 408 divisors, whose sum is σ = 4661933328. Its totient is φ = 275251200.

The previous prime is 1204223981. The next prime is 1204224013. The reversal of 1204224000 is 4224021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172031997 + ... + 172032003.

Almost surely, 2^1204224000 is an apocalyptic number.

1204224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1204224000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330966664).

1204224000 is an abundant number, since it is smaller than the sum of its proper divisors (3457709328).

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

1204224000 is an frugal number, since it uses more digits than its factorization.

1204224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1204224000 is about 34701.9307820185. The cubic root of 1204224000 is about 1063.9039617842.

Multiplying 1204224000 by its sum of digits (15), we get a square (18063360000 = 134400²).

1204224000 divided by its sum of digits (15) gives a square (80281600 = 8960²).

Adding to 1204224000 its reverse (4224021), we get a palindrome (1208448021).

The spelling of 1204224000 in words is "one billion, two hundred four million, two hundred twenty-four thousand".