122114133 has 24 divisors (see below), whose sum is σ = 179869248. Its totient is φ = 79814592.

The previous prime is 122114123. The next prime is 122114143. The reversal of 122114133 is 331411221.

It is an interprime number because it is at equal distance from previous prime (122114123) and next prime (122114143).

It is not a de Polignac number, because 122114133 - 2¹⁰ = 122113109 is a prime.

It is a super-2 number, since 2×122114133² = 29823722956683378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122114123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188416 + ... + 189062.

It is an arithmetic number, because the mean of its divisors is an integer number (7494552).

Almost surely, 2^122114133 is an apocalyptic number.

It is an amenable number.

122114133 is a deficient number, since it is larger than the sum of its proper divisors (57755115).

122114133 is a wasteful number, since it uses less digits than its factorization.

122114133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1030 counting only the distinct ones).

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

The square root of 122114133 is about 11050.5263675537. The cubic root of 122114133 is about 496.1221801093.

Adding to 122114133 its reverse (331411221), we get a palindrome (453525354).

The spelling of 122114133 in words is "one hundred twenty-two million, one hundred fourteen thousand, one hundred thirty-three".