12222038073600 has 864 divisors, whose sum is σ = 46050927552000. Its totient is φ = 3169964851200.

The previous prime is 12222038073587. The next prime is 12222038073667. The reversal of 12222038073600 is 637083022221.

12222038073600 is a `hidden beast` number, since 1 + 2 + 22 + 20 + 3 + 8 + 0 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 2472592729 + ... + 2472597671.

Almost surely, 2^{12222038073600} is an apocalyptic number.

12222038073600 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 12222038073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23025463776000).

12222038073600 is an abundant number, since it is smaller than the sum of its proper divisors (33828889478400).

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

12222038073600 is a wasteful number, since it uses less digits than its factorization.

12222038073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12222038073600 in words is "twelve trillion, two hundred twenty-two billion, thirty-eight million, seventy-three thousand, six hundred".