123120144 has 90 divisors (see below), whose sum is σ = 400843950. Its totient is φ = 35175168.

The previous prime is 123120139. The next prime is 123120149. The reversal of 123120144 is 441021321.

It is an interprime number because it is at equal distance from previous prime (123120139) and next prime (123120149).

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 176400 = 11088^2 + 420^2 .

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

It is not an unprimeable number, because it can be changed into a prime (123120149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1669 + ... + 15780.

Almost surely, 2^123120144 is an apocalyptic number.

123120144 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 123120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200421975).

123120144 is an abundant number, since it is smaller than the sum of its proper divisors (277723806).

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

123120144 is a wasteful number, since it uses less digits than its factorization.

123120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17477 (or 17461 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123120144 is about 11095.9516941991. The cubic root of 123120144 is about 497.4808544605.

Adding to 123120144 its reverse (441021321), we get a palindrome (564141465).

The spelling of 123120144 in words is "one hundred twenty-three million, one hundred twenty thousand, one hundred forty-four".