123444 has 36 divisors (see below), whose sum is σ = 326144. Its totient is φ = 40824.

The previous prime is 123439. The next prime is 123449. The reversal of 123444 is 444321.

It is an interprime number because it is at equal distance from previous prime (123439) and next prime (123449).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×123444² = 30476842272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123449) by changing a digit.

123444 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 11 ways as a sum of consecutive naturals, for example, 909 + ... + 1035.

2¹²³⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163072).

123444 is an abundant number, since it is smaller than the sum of its proper divisors (202700).

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

123444 is a wasteful number, since it uses less digits than its factorization.

123444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 123444 is about 351.3459833270. The cubic root of 123444 is about 49.7916664819.

Adding to 123444 its reverse (444321), we get a palindrome (567765).

It can be divided in two parts, 12 and 3444, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 123444 in words is "one hundred twenty-three thousand, four hundred forty-four", and thus it is an iban number.