126003200 has 144 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 47759360.

The previous prime is 126003187. The next prime is 126003221. The reversal of 126003200 is 2300621.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177547 + ... + 1177653.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^126003200 is an apocalyptic number.

126003200 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 126003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

126003200 is an abundant number, since it is smaller than the sum of its proper divisors (203038240).

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

126003200 is a wasteful number, since it uses less digits than its factorization.

126003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 126003200 is about 11225.1146987458. The cubic root of 126003200 is about 501.3340375223.

Adding to 126003200 its reverse (2300621), we get a palindrome (128303821).

The spelling of 126003200 in words is "one hundred twenty-six million, three thousand, two hundred".