123173200 has 90 divisors (see below), whose sum is σ = 312684414. Its totient is φ = 46621440.

The previous prime is 123173189. The next prime is 123173209. The reversal of 123173200 is 2371321.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 123121216 = 228^2 + 11096^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123173209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143974 + ... + 144826.

Almost surely, 2^123173200 is an apocalyptic number.

123173200 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 123173200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156342207).

123173200 is an abundant number, since it is smaller than the sum of its proper divisors (189511214).

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

123173200 is a wasteful number, since it uses less digits than its factorization.

123173200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 123173200 is about 11098.3422185478. The cubic root of 123173200 is about 497.5523037861.

The spelling of 123173200 in words is "one hundred twenty-three million, one hundred seventy-three thousand, two hundred".