123015120 has 160 divisors (see below), whose sum is σ = 409795200. Its totient is φ = 30431232.

The previous prime is 123015107. The next prime is 123015127. The reversal of 123015120 is 21510321.

It is a super-2 number, since 2×123015120² = 30265439497228800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123015120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123015127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241426 + ... + 241934.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 2^123015120 is an apocalyptic number.

123015120 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 123015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

123015120 is an abundant number, since it is smaller than the sum of its proper divisors (286780080).

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

123015120 is a wasteful number, since it uses less digits than its factorization.

123015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 123015120 is about 11091.2181477059. The cubic root of 123015120 is about 497.3393604405.

Adding to 123015120 its reverse (21510321), we get a palindrome (144525441).

The spelling of 123015120 in words is "one hundred twenty-three million, fifteen thousand, one hundred twenty".