126100800 has 420 divisors, whose sum is σ = 533542240. Its totient is φ = 28615680.

The previous prime is 126100771. The next prime is 126100801. The reversal of 126100800 is 8001621.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126100801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 907131 + ... + 907269.

Almost surely, 2^126100800 is an apocalyptic number.

126100800 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 126100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266771120).

126100800 is an abundant number, since it is smaller than the sum of its proper divisors (407441440).

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

126100800 is a wasteful number, since it uses less digits than its factorization.

126100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 126100800 is about 11229.4612515472. The cubic root of 126100800 is about 501.4634458071.

The spelling of 126100800 in words is "one hundred twenty-six million, one hundred thousand, eight hundred".