123273600 has 96 divisors (see below), whose sum is σ = 406064040. Its totient is φ = 32870400.

The previous prime is 123273599. The next prime is 123273607. The reversal of 123273600 is 6372321.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123273607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3180 + ... + 16020.

Almost surely, 2^123273600 is an apocalyptic number.

123273600 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 123273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203032020).

123273600 is an abundant number, since it is smaller than the sum of its proper divisors (282790440).

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

123273600 is a wasteful number, since it uses less digits than its factorization.

123273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 123273600 is about 11102.8644952553. The cubic root of 123273600 is about 497.6874540857.

The spelling of 123273600 in words is "one hundred twenty-three million, two hundred seventy-three thousand, six hundred".