123220 has 24 divisors (see below), whose sum is σ = 265608. Its totient is φ = 48000.

The previous prime is 123217. The next prime is 123229. The reversal of 123220 is 22321.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 111556 = 108^2 + 334^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 123197 and 123206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170 + ... + 1270.

It is an arithmetic number, because the mean of its divisors is an integer number (11067).

2¹²³²²⁰ is an apocalyptic number.

123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123220 is an abundant number, since it is smaller than the sum of its proper divisors (142388).

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

123220 is a wasteful number, since it uses less digits than its factorization.

123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 123220 is about 351.0270644836. The cubic root of 123220 is about 49.7615311267.

Adding to 123220 its reverse (22321), we get a palindrome (145541).

It can be divided in two parts, 123 and 220, that added together give a palindrome (343).

The spelling of 123220 in words is "one hundred twenty-three thousand, two hundred twenty", and thus it is an iban number.