122607 has 16 divisors (see below), whose sum is σ = 192000. Its totient is φ = 77112.

The previous prime is 122599. The next prime is 122609. The reversal of 122607 is 706221.

Added to its reverse (706221) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It is not a de Polignac number, because 122607 - 2³ = 122599 is a prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 122607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122609) 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, 394 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (12000).

2¹²²⁶⁰⁷ is an apocalyptic number.

122607 is a deficient number, since it is larger than the sum of its proper divisors (69393).

122607 is a wasteful number, since it uses less digits than its factorization.

122607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 122607 is about 350.1528237784. The cubic root of 122607 is about 49.6788753275.

Adding to 122607 its reverse (706221), we get a palindrome (828828).

It can be divided in two parts, 122 and 607, that added together give a 6-th power (729 = 3⁶).

The spelling of 122607 in words is "one hundred twenty-two thousand, six hundred seven".