123036000 has 96 divisors (see below), whose sum is σ = 403105248. Its totient is φ = 32806400.

The previous prime is 123035981. The next prime is 123036019. The reversal of 123036000 is 630321.

It is an interprime number because it is at equal distance from previous prime (123035981) and next prime (123036019).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 6874 + ... + 17126.

It is an arithmetic number, because the mean of its divisors is an integer number (4199013).

Almost surely, 2^123036000 is an apocalyptic number.

123036000 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 123036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201552624).

123036000 is an abundant number, since it is smaller than the sum of its proper divisors (280069248).

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

123036000 is a wasteful number, since it uses less digits than its factorization.

123036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10281 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123036000 is about 11092.1593930127. The cubic root of 123036000 is about 497.3674975193.

Adding to 123036000 its reverse (630321), we get a palindrome (123666321).

The spelling of 123036000 in words is "one hundred twenty-three million, thirty-six thousand".