122856 has 16 divisors (see below), whose sum is σ = 307200. Its totient is φ = 40944.

The previous prime is 122849. The next prime is 122861. The reversal of 122856 is 658221.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5119 = 122856 / (1 + 2 + 2 + 8 + 5 + 6).

It is an unprimeable number.

122856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2536 + ... + 2583.

It is an arithmetic number, because the mean of its divisors is an integer number (19200).

2¹²²⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

122856 is an abundant number, since it is smaller than the sum of its proper divisors (184344).

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

122856 is a wasteful number, since it uses less digits than its factorization.

122856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5124 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 122856 is about 350.5082024718. The cubic root of 122856 is about 49.7124831840.

The spelling of 122856 in words is "one hundred twenty-two thousand, eight hundred fifty-six".