123042816 has 198 divisors, whose sum is σ = 389585040. Its totient is φ = 37380096.

The previous prime is 123042749. The next prime is 123042817. The reversal of 123042816 is 618240321.

123042816 is a `hidden beast` number, since 1 + 230 + 428 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 123042816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123042817) 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, 1557465 + ... + 1557543.

Almost surely, 2^123042816 is an apocalyptic number.

123042816 is a gapful number since it is divisible by the number (16) 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 123042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194792520).

123042816 is an abundant number, since it is smaller than the sum of its proper divisors (266542224).

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

123042816 is a wasteful number, since it uses less digits than its factorization.

123042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123042816 is about 11092.4666328099. The cubic root of 123042816 is about 497.3766818075.

The spelling of 123042816 in words is "one hundred twenty-three million, forty-two thousand, eight hundred sixteen".