126811200 has 168 divisors, whose sum is σ = 430865280. Its totient is φ = 32614400.

The previous prime is 126811189. The next prime is 126811207. The reversal of 126811200 is 2118621.

It is not an unprimeable number, because it can be changed into a prime (126811207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138745 + ... + 139655.

Almost surely, 2^126811200 is an apocalyptic number.

126811200 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 126811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215432640).

126811200 is an abundant number, since it is smaller than the sum of its proper divisors (304054080).

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

126811200 is a wasteful number, since it uses less digits than its factorization.

126811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 126811200 is about 11261.0479086096. The cubic root of 126811200 is about 502.4033625209.

Adding to 126811200 its reverse (2118621), we get a palindrome (128929821).

The spelling of 126811200 in words is "one hundred twenty-six million, eight hundred eleven thousand, two hundred".