12221204040192 has 320 divisors, whose sum is σ = 37739931989760. Its totient is φ = 3442203426816.

The previous prime is 12221204040191. The next prime is 12221204040239. The reversal of 12221204040192 is 29104040212221.

It is not an unprimeable number, because it can be changed into a prime (12221204040191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322465788 + ... + 322503684.

It is an arithmetic number, because the mean of its divisors is an integer number (117937287468).

Almost surely, 2^{12221204040192} is an apocalyptic number.

12221204040192 is a gapful number since it is divisible by the number (12) 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 12221204040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869965994880).

12221204040192 is an abundant number, since it is smaller than the sum of its proper divisors (25518727949568).

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

12221204040192 is an equidigital number, since it uses as much as digits as its factorization.

12221204040192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38351 (or 38335 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12221204040192 in words is "twelve trillion, two hundred twenty-one billion, two hundred four million, forty thousand, one hundred ninety-two".