123073200 has 180 divisors, whose sum is σ = 452446488. Its totient is φ = 30873600.

The previous prime is 123073199. The next prime is 123073201. The reversal of 123073200 is 2370321.

It is an interprime number because it is at equal distance from previous prime (123073199) and next prime (123073201).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123073201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60195 + ... + 62205.

Almost surely, 2^123073200 is an apocalyptic number.

123073200 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 123073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226223244).

123073200 is an abundant number, since it is smaller than the sum of its proper divisors (329373288).

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

123073200 is a wasteful number, since it uses less digits than its factorization.

123073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 123073200 is about 11093.8361264262. The cubic root of 123073200 is about 497.4176189106.

The spelling of 123073200 in words is "one hundred twenty-three million, seventy-three thousand, two hundred".