123427200 has 384 divisors, whose sum is σ = 467470080. Its totient is φ = 28385280.

The previous prime is 123427189. The next prime is 123427207. The reversal of 123427200 is 2724321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123427207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2870379 + ... + 2870421.

It is an arithmetic number, because the mean of its divisors is an integer number (1217370).

Almost surely, 2^123427200 is an apocalyptic number.

123427200 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 123427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233735040).

123427200 is an abundant number, since it is smaller than the sum of its proper divisors (344042880).

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

123427200 is a wasteful number, since it uses less digits than its factorization.

123427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 123427200 is about 11109.7794757592. The cubic root of 123427200 is about 497.8940759540.

The spelling of 123427200 in words is "one hundred twenty-three million, four hundred twenty-seven thousand, two hundred".