122892 has 72 divisors (see below), whose sum is σ = 383040. Its totient is φ = 30240.

The previous prime is 122891. The next prime is 122921. The reversal of 122892 is 298221.

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 zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (122891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6459 + ... + 6477.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2¹²²⁸⁹² is an apocalyptic number.

122892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

122892 is an abundant number, since it is smaller than the sum of its proper divisors (260148).

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

122892 is a wasteful number, since it uses less digits than its factorization.

122892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 42 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 122892 is about 350.5595527154. The cubic root of 122892 is about 49.7173383928.

The spelling of 122892 in words is "one hundred twenty-two thousand, eight hundred ninety-two".