122031 has 24 divisors (see below), whose sum is σ = 218400. Its totient is φ = 63936.

The previous prime is 122029. The next prime is 122033. The reversal of 122031 is 130221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122029) and next prime (122033).

It is not a de Polignac number, because 122031 - 2¹ = 122029 is a prime.

It is a super-2 number, since 2×122031² = 29783129922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

122031 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122031.

It is not an unprimeable number, because it can be changed into a prime (122033) 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, 745 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2¹²²⁰³¹ is an apocalyptic number.

122031 is a deficient number, since it is larger than the sum of its proper divisors (96369).

122031 is a wasteful number, since it uses less digits than its factorization.

122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122031 is about 349.3293574837. The cubic root of 122031 is about 49.6009571009.

Adding to 122031 its reverse (130221), we get a palindrome (252252).

The spelling of 122031 in words is "one hundred twenty-two thousand, thirty-one".