221184481122 has 192 divisors, whose sum is σ = 560658309120. Its totient is φ = 62385120000.

The previous prime is 221184481109. The next prime is 221184481129.

221184481122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (221184481129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17861529 + ... + 17873907.

It is an arithmetic number, because the mean of its divisors is an integer number (2920095360).

Almost surely, 2^221184481122 is an apocalyptic number.

221184481122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221184481122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280329154560).

221184481122 is an abundant number, since it is smaller than the sum of its proper divisors (339473827998).

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

221184481122 is a wasteful number, since it uses less digits than its factorization.

221184481122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12541 (or 12538 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The spelling of 221184481122 in words is "two hundred twenty-one billion, one hundred eighty-four million, four hundred eighty-one thousand, one hundred twenty-two".