123512928 has 288 divisors, whose sum is σ = 429004800. Its totient is φ = 31046400.

The previous prime is 123512927. The next prime is 123512929. The reversal of 123512928 is 829215321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123512927) and next prime (123512929).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (8640) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123512927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3984273 + ... + 3984303.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 2^123512928 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 123512928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

123512928 is an abundant number, since it is smaller than the sum of its proper divisors (305491872).

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

123512928 is a wasteful number, since it uses less digits than its factorization.

123512928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 123512928 is about 11113.6370284439. The cubic root of 123512928 is about 498.0093222558.

The spelling of 123512928 in words is "one hundred twenty-three million, five hundred twelve thousand, nine hundred twenty-eight".