122661 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 62640.

The previous prime is 122653. The next prime is 122663. The reversal of 122661 is 166221.

It is a happy number.

122661 is a `hidden beast` number, since 1 + 2 + 2 + 661 = 666.

It is not a de Polignac number, because 122661 - 2³ = 122653 is a prime.

122661 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2¹²²⁶⁶¹ is an apocalyptic number.

122661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122661 is a deficient number, since it is larger than the sum of its proper divisors (107739).

122661 is a wasteful number, since it uses less digits than its factorization.

122661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 122661 is about 350.2299244782. The cubic root of 122661 is about 49.6861676396.

Adding to 122661 its reverse (166221), we get a palindrome (288882).

The spelling of 122661 in words is "one hundred twenty-two thousand, six hundred sixty-one".