122013 has 8 divisors (see below), whose sum is σ = 180800. Its totient is φ = 81324.

The previous prime is 122011. The next prime is 122021. The reversal of 122013 is 310221.

It is a happy number.

It is not a de Polignac number, because 122013 - 2¹ = 122011 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121986 and 122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011) 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 7 ways as a sum of consecutive naturals, for example, 2233 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (22600).

2¹²²⁰¹³ is an apocalyptic number.

It is an amenable number.

122013 is a deficient number, since it is larger than the sum of its proper divisors (58787).

122013 is an equidigital number, since it uses as much as digits as its factorization.

122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4522 counting only the distinct ones).

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

The square root of 122013 is about 349.3035928816. The cubic root of 122013 is about 49.5985182093.

Adding to 122013 its reverse (310221), we get a palindrome (432234).

It can be divided in two parts, 12 and 2013, that added together give a square (2025 = 45²).

The spelling of 122013 in words is "one hundred twenty-two thousand, thirteen".