122864 has 20 divisors (see below), whose sum is σ = 272304. Its totient is φ = 52608.

The previous prime is 122861. The next prime is 122867. The reversal of 122864 is 468221.

It is an interprime number because it is at equal distance from previous prime (122861) and next prime (122867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122861) 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, 437 + ... + 660.

2¹²²⁸⁶⁴ is an apocalyptic number.

122864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122864 is an abundant number, since it is smaller than the sum of its proper divisors (149440).

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

122864 is a wasteful number, since it uses less digits than its factorization.

122864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 122864 is about 350.5196142871. The cubic root of 122864 is about 49.7135622012.

The spelling of 122864 in words is "one hundred twenty-two thousand, eight hundred sixty-four".