22120002122166 has 64 divisors (see below), whose sum is σ = 53054657208000. Its totient is φ = 6790995929088.

The previous prime is 22120002122159. The next prime is 22120002122167. The reversal of 22120002122166 is 66122120002122.

22120002122166 is a `hidden beast` number, since 221 + 200 + 0 + 21 + 2 + 216 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120002122167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34773861 + ... + 35404256.

It is an arithmetic number, because the mean of its divisors is an integer number (828979018875).

Almost surely, 2^{22120002122166} is an apocalyptic number.

22120002122166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22120002122166 is an abundant number, since it is smaller than the sum of its proper divisors (30934655085834).

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

22120002122166 is a wasteful number, since it uses less digits than its factorization.

22120002122166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70178590 (or 70178584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22120002122166 its reverse (66122120002122), we get a palindrome (88242122124288).

The spelling of 22120002122166 in words is "twenty-two trillion, one hundred twenty billion, two million, one hundred twenty-two thousand, one hundred sixty-six".