1224333066240 has 756 divisors, whose sum is σ = 4548116539512. Its totient is φ = 315956920320.

The previous prime is 1224333066211. The next prime is 1224333066251. The reversal of 1224333066240 is 426603334221.

1224333066240 is a `hidden beast` number, since 1 + 2 + 24 + 3 + 3 + 3 + 0 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1224333066195 and 1224333066204.

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 35 ways as a sum of consecutive naturals, for example, 39494615025 + ... + 39494615055.

Almost surely, 2^{1224333066240} is an apocalyptic number.

1224333066240 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 1224333066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274058269756).

1224333066240 is an abundant number, since it is smaller than the sum of its proper divisors (3323783473272).

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

1224333066240 is an frugal number, since it uses more digits than its factorization.

1224333066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 1224333066240 in words is "one trillion, two hundred twenty-four billion, three hundred thirty-three million, sixty-six thousand, two hundred forty".