123414144 has 128 divisors (see below), whose sum is σ = 382704000. Its totient is φ = 35223552.

The previous prime is 123414143. The next prime is 123414173. The reversal of 123414144 is 441414321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (123414143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131244 + ... + 132180.

It is an arithmetic number, because the mean of its divisors is an integer number (2989875).

Almost surely, 2^123414144 is an apocalyptic number.

123414144 is a gapful number since it is divisible by the number (14) 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 123414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191352000).

123414144 is an abundant number, since it is smaller than the sum of its proper divisors (259289856).

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

123414144 is an frugal number, since it uses more digits than its factorization.

123414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 949 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 123414144 is about 11109.1918697986. The cubic root of 123414144 is about 497.8765197635.

Adding to 123414144 its reverse (441414321), we get a palindrome (564828465).

The spelling of 123414144 in words is "one hundred twenty-three million, four hundred fourteen thousand, one hundred forty-four".