122145 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 61184.

The previous prime is 122131. The next prime is 122147. The reversal of 122145 is 541221.

It is a cyclic number.

It is not a de Polignac number, because 122145 - 2⁶ = 122081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122145.

It is not an unprimeable number, because it can be changed into a prime (122147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2¹²²¹⁴⁵ is an apocalyptic number.

122145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122145 is a deficient number, since it is larger than the sum of its proper divisors (85215).

122145 is a wasteful number, since it uses less digits than its factorization.

122145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its digits is 80, while the sum is 15.

The square root of 122145 is about 349.4924891897. The cubic root of 122145 is about 49.6163978474.

Adding to 122145 its reverse (541221), we get a palindrome (663366).

It can be divided in two parts, 1221 and 45, that multiplied together give a palindrome (54945).

The spelling of 122145 in words is "one hundred twenty-two thousand, one hundred forty-five".