126208800 has 144 divisors (see below), whose sum is σ = 456533280. Its totient is φ = 33649920.

The previous prime is 126208793. The next prime is 126208801. The reversal of 126208800 is 8802621.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×126208800² = 31857322394880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126208801) 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, 18679 + ... + 24521.

It is an arithmetic number, because the mean of its divisors is an integer number (3170370).

Almost surely, 2^126208800 is an apocalyptic number.

126208800 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 126208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228266640).

126208800 is an abundant number, since it is smaller than the sum of its proper divisors (330324480).

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

126208800 is a wasteful number, since it uses less digits than its factorization.

126208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 126208800 is about 11234.2690015862. The cubic root of 126208800 is about 501.6065656978.

The spelling of 126208800 in words is "one hundred twenty-six million, two hundred eight thousand, eight hundred".