122193 has 6 divisors (see below), whose sum is σ = 176514. Its totient is φ = 81456.

The previous prime is 122173. The next prime is 122201. The reversal of 122193 is 391221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 1089 = 348^2 + 33^2 .

It is not a de Polignac number, because 122193 - 2⁸ = 121937 is a prime.

It is a super-2 number, since 2×122193² = 29862258498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122173) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6780 + ... + 6797.

It is an arithmetic number, because the mean of its divisors is an integer number (29419).

2¹²²¹⁹³ is an apocalyptic number.

It is an amenable number.

122193 is a deficient number, since it is larger than the sum of its proper divisors (54321).

122193 is a wasteful number, since it uses less digits than its factorization.

122193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13580 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 122193 is about 349.5611534481. The cubic root of 122193 is about 49.6228963402.

The spelling of 122193 in words is "one hundred twenty-two thousand, one hundred ninety-three".