221766667122 has 512 divisors, whose sum is σ = 661893120000. Its totient is φ = 47616491520.

The previous prime is 221766667091. The next prime is 221766667153.

221766667122 is nontrivially palindromic in base 10.

221766667122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221766667091) and next prime (221766667153).

It is a nude number because it is divisible by every one of its digits.

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 255 ways as a sum of consecutive naturals, for example, 177554754 + ... + 177556002.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760000).

Almost surely, 2^221766667122 is an apocalyptic number.

221766667122 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 221766667122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560000).

221766667122 is an abundant number, since it is smaller than the sum of its proper divisors (440126452878).

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

221766667122 is a wasteful number, since it uses less digits than its factorization.

221766667122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386.

The product of its digits is 1016064, while the sum is 48.

It can be divided in two parts, 221766 and 667122, that added together give a palindrome (888888).

The spelling of 221766667122 in words is "two hundred twenty-one billion, seven hundred sixty-six million, six hundred sixty-seven thousand, one hundred twenty-two".