126300 has 36 divisors (see below), whose sum is σ = 366296. Its totient is φ = 33600.

The previous prime is 126271. The next prime is 126307. The reversal of 126300 is 3621.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126307) by changing a digit.

126300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90 + ... + 510.

2¹²⁶³⁰⁰ is an apocalyptic number.

126300 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 126300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183148).

126300 is an abundant number, since it is smaller than the sum of its proper divisors (239996).

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

126300 is a wasteful number, since it uses less digits than its factorization.

126300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 126300 is about 355.3871128783. The cubic root of 126300 is about 50.1727358924.

Adding to 126300 its reverse (3621), we get a palindrome (129921).

The spelling of 126300 in words is "one hundred twenty-six thousand, three hundred".