1224097996800 has 672 divisors, whose sum is σ = 4648768781184. Its totient is φ = 278396928000.

The previous prime is 1224097996787. The next prime is 1224097996801. The reversal of 1224097996800 is 86997904221.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1224097996801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1036492210 + ... + 1036493390.

Almost surely, 2^{1224097996800} is an apocalyptic number.

1224097996800 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 1224097996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324384390592).

1224097996800 is an abundant number, since it is smaller than the sum of its proper divisors (3424670784384).

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

1224097996800 is a wasteful number, since it uses less digits than its factorization.

1224097996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 1224097996800 in words is "one trillion, two hundred twenty-four billion, ninety-seven million, nine hundred ninety-six thousand, eight hundred".