12221176221000 has 384 divisors, whose sum is σ = 43153895715840. Its totient is φ = 3115847808000.

The previous prime is 12221176220993. The next prime is 12221176221019. The reversal of 12221176221000 is 12267112221.

It is a happy number.

12221176221000 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 1 + 7 + 622 + 10 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22893124 + ... + 23420876.

It is an arithmetic number, because the mean of its divisors is an integer number (112379936760).

Almost surely, 2^{12221176221000} is an apocalyptic number.

12221176221000 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 12221176221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576947857920).

12221176221000 is an abundant number, since it is smaller than the sum of its proper divisors (30932719494840).

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

12221176221000 is a wasteful number, since it uses less digits than its factorization.

12221176221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527894 (or 527877 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12221176221000 in words is "twelve trillion, two hundred twenty-one billion, one hundred seventy-six million, two hundred twenty-one thousand".