122133 has 8 divisors (see below), whose sum is σ = 177696. Its totient is φ = 74000.

The previous prime is 122131. The next prime is 122147. The reversal of 122133 is 331221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122133 - 2¹ = 122131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1818 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (22212).

2¹²²¹³³ is an apocalyptic number.

It is an amenable number.

122133 is a deficient number, since it is larger than the sum of its proper divisors (55563).

122133 is a wasteful number, since it uses less digits than its factorization.

122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715.

The product of its digits is 36, while the sum is 12.

The square root of 122133 is about 349.4753210171. The cubic root of 122133 is about 49.6147729582.

Adding to 122133 its reverse (331221), we get a palindrome (453354).

It can be divided in two parts, 12 and 2133, that added together give a triangular number (2145 = T₆₅).

The spelling of 122133 in words is "one hundred twenty-two thousand, one hundred thirty-three".