126611200 has 108 divisors (see below), whose sum is σ = 318847648. Its totient is φ = 49766400.

The previous prime is 126611197. The next prime is 126611213. The reversal of 126611200 is 2116621.

It is a congruent number.

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, 467065 + ... + 467335.

Almost surely, 2^126611200 is an apocalyptic number.

126611200 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 126611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159423824).

126611200 is an abundant number, since it is smaller than the sum of its proper divisors (192236448).

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

126611200 is an equidigital number, since it uses as much as digits as its factorization.

126611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 126611200 is about 11252.1642362703. The cubic root of 126611200 is about 502.1391021004.

Adding to 126611200 its reverse (2116621), we get a palindrome (128727821).

It can be divided in two parts, 12661 and 1200, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 126611200 in words is "one hundred twenty-six million, six hundred eleven thousand, two hundred".