1224751968 has 192 divisors, whose sum is σ = 4023613440. Its totient is φ = 359078400.

The previous prime is 1224751949. The next prime is 1224751981. The reversal of 1224751968 is 8691574221.

1224751968 is a `hidden beast` number, since 122 + 4 + 7 + 519 + 6 + 8 = 666.

It is a super-3 number, since 3×1224751968³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292546 + ... + 296702.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 2^1224751968 is an apocalyptic number.

1224751968 is a gapful number since it is divisible by the number (18) 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 1224751968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

1224751968 is an abundant number, since it is smaller than the sum of its proper divisors (2798861472).

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

1224751968 is a wasteful number, since it uses less digits than its factorization.

1224751968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4204 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1224751968 is about 34996.4565063379. The cubic root of 1224751968 is about 1069.9152604158.

The spelling of 1224751968 in words is "one billion, two hundred twenty-four million, seven hundred fifty-one thousand, nine hundred sixty-eight".