221667766122 has 32 divisors (see below), whose sum is σ = 496710085824. Its totient is φ = 65356588800.

The previous prime is 221667766097. The next prime is 221667766129.

221667766122 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (221667766129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45384079 + ... + 45388962.

It is an arithmetic number, because the mean of its divisors is an integer number (15522190182).

Almost surely, 2^221667766122 is an apocalyptic number.

221667766122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221667766122 is an abundant number, since it is smaller than the sum of its proper divisors (275042319702).

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

221667766122 is a wasteful number, since it uses less digits than its factorization.

221667766122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90773094.

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

It can be divided in two parts, 221667 and 766122, that added together give a palindrome (987789).

The spelling of 221667766122 in words is "two hundred twenty-one billion, six hundred sixty-seven million, seven hundred sixty-six thousand, one hundred twenty-two".