1223874100800 has 1680 divisors, whose sum is σ = 5154818351760. Its totient is φ = 282593525760.

The previous prime is 1223874100781. The next prime is 1223874100817. The reversal of 1223874100800 is 80014783221.

1223874100800 is a `hidden beast` number, since 1 + 2 + 238 + 7 + 410 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 311283653184 + 912590447616 = 557928^2 + 955296^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1807790062 + ... + 1807790738.

It is an arithmetic number, because the mean of its divisors is an integer number (3068344257).

Almost surely, 2^{1223874100800} is an apocalyptic number.

1223874100800 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 1223874100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577409175880).

1223874100800 is an abundant number, since it is smaller than the sum of its proper divisors (3930944250960).

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

1223874100800 is a wasteful number, since it uses less digits than its factorization.

1223874100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1223874100800 in words is "one trillion, two hundred twenty-three billion, eight hundred seventy-four million, one hundred thousand, eight hundred".