126271200 has 144 divisors (see below), whose sum is σ = 448471296. Its totient is φ = 30604800.

The previous prime is 126271163. The next prime is 126271213. The reversal of 126271200 is 2172621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24009 + ... + 28791.

It is an arithmetic number, because the mean of its divisors is an integer number (3114384).

Almost surely, 2^126271200 is an apocalyptic number.

126271200 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 126271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224235648).

126271200 is an abundant number, since it is smaller than the sum of its proper divisors (322200096).

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

126271200 is a wasteful number, since it uses less digits than its factorization.

126271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 126271200 is about 11237.0458751400. The cubic root of 126271200 is about 501.6892199782.

The spelling of 126271200 in words is "one hundred twenty-six million, two hundred seventy-one thousand, two hundred".