1224016920 has 320 divisors, whose sum is σ = 4866523200. Its totient is φ = 269982720.

The previous prime is 1224016919. The next prime is 1224016931. The reversal of 1224016920 is 296104221.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 656790 + ... + 658650.

It is an arithmetic number, because the mean of its divisors is an integer number (15207885).

Almost surely, 2^1224016920 is an apocalyptic number.

1224016920 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 1224016920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433261600).

1224016920 is an abundant number, since it is smaller than the sum of its proper divisors (3642506280).

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

1224016920 is a wasteful number, since it uses less digits than its factorization.

1224016920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1224016920 is about 34985.9531812412. The cubic root of 1224016920 is about 1069.7011772177.

The spelling of 1224016920 in words is "one billion, two hundred twenty-four million, sixteen thousand, nine hundred twenty".