123114144 has 96 divisors (see below), whose sum is σ = 342074880. Its totient is φ = 38707200.

The previous prime is 123114139. The next prime is 123114157. The reversal of 123114144 is 441411321.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 123114144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121512 + ... + 122520.

It is an arithmetic number, because the mean of its divisors is an integer number (3563280).

Almost surely, 2^123114144 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 123114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171037440).

123114144 is an abundant number, since it is smaller than the sum of its proper divisors (218960736).

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

123114144 is a wasteful number, since it uses less digits than its factorization.

123114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 123114144 is about 11095.6813220280. The cubic root of 123114144 is about 497.4727731032.

Adding to 123114144 its reverse (441411321), we get a palindrome (564525465).

The spelling of 123114144 in words is "one hundred twenty-three million, one hundred fourteen thousand, one hundred forty-four".