123133000 has 64 divisors (see below), whose sum is σ = 293155200. Its totient is φ = 48395200.

The previous prime is 123132991. The next prime is 123133019. The reversal of 123133000 is 331321.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57957 + ... + 60043.

It is an arithmetic number, because the mean of its divisors is an integer number (4580550).

Almost surely, 2^123133000 is an apocalyptic number.

123133000 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 123133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146577600).

123133000 is an abundant number, since it is smaller than the sum of its proper divisors (170022200).

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

123133000 is a wasteful number, since it uses less digits than its factorization.

123133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 123133000 is about 11096.5309894579. The cubic root of 123133000 is about 497.4981692314.

Adding to 123133000 its reverse (331321), we get a palindrome (123464321).

The spelling of 123133000 in words is "one hundred twenty-three million, one hundred thirty-three thousand".