123006016 has 112 divisors (see below), whose sum is σ = 305482752. Its totient is φ = 47923200.

The previous prime is 123005989. The next prime is 123006017. The reversal of 123006016 is 610600321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 123005984 and 123006002.

It is not an unprimeable number, because it can be changed into a prime (123006017) 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, 235836 + ... + 236356.

Almost surely, 2^123006016 is an apocalyptic number.

123006016 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 123006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152741376).

123006016 is an abundant number, since it is smaller than the sum of its proper divisors (182476736).

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

123006016 is a wasteful number, since it uses less digits than its factorization.

123006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 123006016 is about 11090.8077253192. The cubic root of 123006016 is about 497.3270912462.

Adding to 123006016 its reverse (610600321), we get a palindrome (733606337).

The spelling of 123006016 in words is "one hundred twenty-three million, six thousand, sixteen".