1224720000 has 640 divisors, whose sum is σ = 5225827200. Its totient is φ = 279936000.

The previous prime is 1224719999. The next prime is 1224720019. The reversal of 1224720000 is 274221.

It is a tau number, because it is divible by the number of its divisors (640).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174959997 + ... + 174960003.

It is an arithmetic number, because the mean of its divisors is an integer number (8165355).

Almost surely, 2^1224720000 is an apocalyptic number.

1224720000 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 1224720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612913600).

1224720000 is an abundant number, since it is smaller than the sum of its proper divisors (4001107200).

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

1224720000 is an frugal number, since it uses more digits than its factorization.

1224720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1224720000 is about 34995.9997714024. Note that the first 3 decimals coincide. The cubic root of 1224720000 is about 1069.9059514974.

Adding to 1224720000 its reverse (274221), we get a palindrome (1224994221).

The spelling of 1224720000 in words is "one billion, two hundred twenty-four million, seven hundred twenty thousand".