1224721968 has 80 divisors (see below), whose sum is σ = 3283644000. Its totient is φ = 392878080.

The previous prime is 1224721957. The next prime is 1224722017. The reversal of 1224721968 is 8691274221.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484548 + ... + 487068.

It is an arithmetic number, because the mean of its divisors is an integer number (41045550).

Almost surely, 2^1224721968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224721968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641822000).

1224721968 is an abundant number, since it is smaller than the sum of its proper divisors (2058922032).

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

1224721968 is a wasteful number, since it uses less digits than its factorization.

1224721968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2904 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 1224721968 is about 34996.0278888905. The cubic root of 1224721968 is about 1069.9065245736.

The spelling of 1224721968 in words is "one billion, two hundred twenty-four million, seven hundred twenty-one thousand, nine hundred sixty-eight".