123132000 has 192 divisors, whose sum is σ = 417650688. Its totient is φ = 31680000.

The previous prime is 123131971. The next prime is 123132011. The reversal of 123132000 is 231321.

It is a happy number.

It is a super-2 number, since 2×123132000² = 30322978848000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 371835 + ... + 372165.

It is an arithmetic number, because the mean of its divisors is an integer number (2175264).

Almost surely, 2^123132000 is an apocalyptic number.

123132000 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 123132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208825344).

123132000 is an abundant number, since it is smaller than the sum of its proper divisors (294518688).

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

123132000 is a wasteful number, since it uses less digits than its factorization.

123132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

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

The square root of 123132000 is about 11096.4859302394. The cubic root of 123132000 is about 497.4968224505.

Adding to 123132000 its reverse (231321), we get a palindrome (123363321).

The spelling of 123132000 in words is "one hundred twenty-three million, one hundred thirty-two thousand".