122771166 has 48 divisors (see below), whose sum is σ = 286609680. Its totient is φ = 34957440.

The previous prime is 122771147. The next prime is 122771167. The reversal of 122771166 is 661177221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122771167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119736 + ... + 120756.

It is an arithmetic number, because the mean of its divisors is an integer number (5971035).

Almost surely, 2^122771166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122771166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143304840).

122771166 is an abundant number, since it is smaller than the sum of its proper divisors (163838514).

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

122771166 is a wasteful number, since it uses less digits than its factorization.

122771166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1442 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 122771166 is about 11080.2150701148. The cubic root of 122771166 is about 497.0103813212.

The spelling of 122771166 in words is "one hundred twenty-two million, seven hundred seventy-one thousand, one hundred sixty-six".