122784 has 24 divisors (see below), whose sum is σ = 322560. Its totient is φ = 40896.

The previous prime is 122777. The next prime is 122789. The reversal of 122784 is 487221.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

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 3 ways as a sum of consecutive naturals, for example, 544 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2¹²²⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

122784 is an abundant number, since it is smaller than the sum of its proper divisors (199776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122784 is a wasteful number, since it uses less digits than its factorization.

122784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 122784 is about 350.4054794092. The cubic root of 122784 is about 49.7027699201.

Subtracting from 122784 its sum of digits (24), we obtain a triangular number (122760 = T₄₉₅).

The spelling of 122784 in words is "one hundred twenty-two thousand, seven hundred eighty-four".