123005088 has 192 divisors, whose sum is σ = 387072000. Its totient is φ = 37884672.

The previous prime is 123005009. The next prime is 123005089. The reversal of 123005088 is 880500321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123005089) 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, 968481 + ... + 968607.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^123005088 is an apocalyptic number.

123005088 is a gapful number since it is divisible by the number (18) 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 123005088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

123005088 is an abundant number, since it is smaller than the sum of its proper divisors (264066912).

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

123005088 is a wasteful number, since it uses less digits than its factorization.

123005088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 123005088 is about 11090.7658887924. The cubic root of 123005088 is about 497.3258405737.

The spelling of 123005088 in words is "one hundred twenty-three million, five thousand, eighty-eight".