1222633724400 has 1440 divisors, whose sum is σ = 4932404305920. Its totient is φ = 277724160000.

The previous prime is 1222633724341. The next prime is 1222633724407. The reversal of 1222633724400 is 44273362221.

1222633724400 is a `hidden beast` number, since 1 + 2 + 226 + 3 + 3 + 7 + 24 + 400 = 666.

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 (1222633724407) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 9627037137 + ... + 9627037263.

It is an arithmetic number, because the mean of its divisors is an integer number (3425280768).

Almost surely, 2^{1222633724400} is an apocalyptic number.

1222633724400 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 1222633724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466202152960).

1222633724400 is an abundant number, since it is smaller than the sum of its proper divisors (3709770581520).

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

1222633724400 is a wasteful number, since it uses less digits than its factorization.

1222633724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 1222633724400 in words is "one trillion, two hundred twenty-two billion, six hundred thirty-three million, seven hundred twenty-four thousand, four hundred".