123016020 has 96 divisors (see below), whose sum is σ = 355332096. Its totient is φ = 31785600.

The previous prime is 123016007. The next prime is 123016027. The reversal of 123016020 is 20610321.

It is a super-3 number, since 3×123016020³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123016027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285205 + ... + 285635.

It is an arithmetic number, because the mean of its divisors is an integer number (3701376).

Almost surely, 2^123016020 is an apocalyptic number.

123016020 is a gapful number since it is divisible by the number (10) 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 123016020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177666048).

123016020 is an abundant number, since it is smaller than the sum of its proper divisors (232316076).

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

123016020 is a wasteful number, since it uses less digits than its factorization.

123016020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123016020 is about 11091.2587202716. The cubic root of 123016020 is about 497.3405733113.

Adding to 123016020 its reverse (20610321), we get a palindrome (143626341).

The spelling of 123016020 in words is "one hundred twenty-three million, sixteen thousand, twenty".