123084000 has 288 divisors, whose sum is σ = 472215744. Its totient is φ = 30182400.

The previous prime is 123083963. The next prime is 123084001. The reversal of 123084000 is 480321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123084001) 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 47 ways as a sum of consecutive naturals, for example, 467869 + ... + 468131.

It is an arithmetic number, because the mean of its divisors is an integer number (1639638).

Almost surely, 2^123084000 is an apocalyptic number.

123084000 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 123084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236107872).

123084000 is an abundant number, since it is smaller than the sum of its proper divisors (349131744).

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

123084000 is a wasteful number, since it uses less digits than its factorization.

123084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123084000 is about 11094.3228725326. The cubic root of 123084000 is about 497.4321683905.

The spelling of 123084000 in words is "one hundred twenty-three million, eighty-four thousand".