126043200 has 126 divisors (see below), whose sum is σ = 448038474. Its totient is φ = 33607680.

The previous prime is 126043199. The next prime is 126043213. The reversal of 126043200 is 2340621.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24920064 + 101123136 = 4992^2 + 10056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10024 + ... + 18776.

Almost surely, 2^126043200 is an apocalyptic number.

126043200 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 126043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224019237).

126043200 is an abundant number, since it is smaller than the sum of its proper divisors (321995274).

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

126043200 is a wasteful number, since it uses less digits than its factorization.

126043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 126043200 is about 11226.8962763535. The cubic root of 126043200 is about 501.3870817833.

Adding to 126043200 its reverse (2340621), we get a palindrome (128383821).

The spelling of 126043200 in words is "one hundred twenty-six million, forty-three thousand, two hundred".