1224820776960 has 1344 divisors, whose sum is σ = 4888493225280. Its totient is φ = 294298583040.

The previous prime is 1224820776953. The next prime is 1224820777007. The reversal of 1224820776960 is 696770284221.

1224820776960 is a `hidden beast` number, since 1 + 2 + 2 + 482 + 0 + 7 + 76 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1224820776897 and 1224820776906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10839121864 + ... + 10839121976.

It is an arithmetic number, because the mean of its divisors is an integer number (3637271745).

Almost surely, 2^{1224820776960} is an apocalyptic number.

1224820776960 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 1224820776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444246612640).

1224820776960 is an abundant number, since it is smaller than the sum of its proper divisors (3663672448320).

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

1224820776960 is an frugal number, since it uses more digits than its factorization.

1224820776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1224820776960 in words is "one trillion, two hundred twenty-four billion, eight hundred twenty million, seven hundred seventy-six thousand, nine hundred sixty".