122787 has 12 divisors (see below), whose sum is σ = 202800. Its totient is φ = 70128.

The previous prime is 122777. The next prime is 122789. The reversal of 122787 is 787221.

It is not a de Polignac number, because 122787 - 2¹⁰ = 121763 is a prime.

122787 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 122787.

It is not an unprimeable number, because it can be changed into a prime (122789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (16900).

2¹²²⁷⁸⁷ is an apocalyptic number.

122787 is a deficient number, since it is larger than the sum of its proper divisors (80013).

122787 is a wasteful number, since it uses less digits than its factorization.

122787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1959 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 122787 is about 350.4097601380. The cubic root of 122787 is about 49.7031747153.

Subtracting from 122787 its sum of digits (27), we obtain a triangular number (122760 = T₄₉₅).

It can be divided in two parts, 122 and 787, that added together give a palindrome (909).

The spelling of 122787 in words is "one hundred twenty-two thousand, seven hundred eighty-seven".