123750400 has 72 divisors (see below), whose sum is σ = 306953010. Its totient is φ = 49479680.

The previous prime is 123750371. The next prime is 123750413. The reversal of 123750400 is 4057321.

It can be written as a sum of positive squares in 3 ways, for example, as 117679104 + 6071296 = 10848^2 + 2464^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49992 + ... + 52408.

Almost surely, 2^123750400 is an apocalyptic number.

123750400 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 123750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153476505).

123750400 is an abundant number, since it is smaller than the sum of its proper divisors (183202610).

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

123750400 is an equidigital number, since it uses as much as digits as its factorization.

123750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 123750400 is about 11124.3157092920. The cubic root of 123750400 is about 498.3282836245.

The spelling of 123750400 in words is "one hundred twenty-three million, seven hundred fifty thousand, four hundred".