123312000 has 256 divisors, whose sum is σ = 468449280. Its totient is φ = 28108800.

The previous prime is 123311989. The next prime is 123312001. The reversal of 123312000 is 213321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123312001) 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, 335817 + ... + 336183.

It is an arithmetic number, because the mean of its divisors is an integer number (1829880).

Almost surely, 2^123312000 is an apocalyptic number.

123312000 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 123312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234224640).

123312000 is an abundant number, since it is smaller than the sum of its proper divisors (345137280).

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

123312000 is an equidigital number, since it uses as much as digits as its factorization.

123312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 123312000 is about 11104.5936440736. The cubic root of 123312000 is about 497.7391256363.

Adding to 123312000 its reverse (213321), we get a palindrome (123525321).

The spelling of 123312000 in words is "one hundred twenty-three million, three hundred twelve thousand".