1223233228800 has 1872 divisors, whose sum is σ = 5124166407360. Its totient is φ = 286654464000.

The previous prime is 1223233228799. The next prime is 1223233228801. The reversal of 1223233228800 is 88223323221.

It is a happy number.

1223233228800 is a `hidden beast` number, since 1 + 2 + 2 + 323 + 322 + 8 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1223233228799) and next prime (1223233228801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223233228801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11222323146 + ... + 11222323254.

It is an arithmetic number, because the mean of its divisors is an integer number (2737268380).

Almost surely, 2^{1223233228800} is an apocalyptic number.

1223233228800 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 1223233228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562083203680).

1223233228800 is an abundant number, since it is smaller than the sum of its proper divisors (3900933178560).

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

1223233228800 is a wasteful number, since it uses less digits than its factorization.

1223233228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1223233228800 in words is "one trillion, two hundred twenty-three billion, two hundred thirty-three million, two hundred twenty-eight thousand, eight hundred".