126411200 has 126 divisors (see below), whose sum is σ = 325605648. Its totient is φ = 48281600.

The previous prime is 126411193. The next prime is 126411221. The reversal of 126411200 is 2114621.

It is a congruent number.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 2689577 + ... + 2689623.

Almost surely, 2^126411200 is an apocalyptic number.

126411200 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 126411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162802824).

126411200 is an abundant number, since it is smaller than the sum of its proper divisors (199194448).

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

126411200 is an equidigital number, since it uses as much as digits as its factorization.

126411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 126411200 is about 11243.2735446577. The cubic root of 126411200 is about 501.8745632424.

Adding to 126411200 its reverse (2114621), we get a palindrome (128525821).

The spelling of 126411200 in words is "one hundred twenty-six million, four hundred eleven thousand, two hundred".