123166442124 has 144 divisors (see below), whose sum is σ = 351374194080. Its totient is φ = 36051840000.

The previous prime is 123166442117. The next prime is 123166442159. The reversal of 123166442124 is 421244661321.

123166442124 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 6 + 644 + 2 + 1 + 2 + 4 = 666.

123166442124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602282 + ... + 1677390.

It is an arithmetic number, because the mean of its divisors is an integer number (2440098570).

Almost surely, 2^123166442124 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 123166442124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175687097040).

123166442124 is an abundant number, since it is smaller than the sum of its proper divisors (228207751956).

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

123166442124 is a wasteful number, since it uses less digits than its factorization.

123166442124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75272 (or 75267 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 123166442124 in words is "one hundred twenty-three billion, one hundred sixty-six million, four hundred forty-two thousand, one hundred twenty-four".