126251200 has 84 divisors (see below), whose sum is σ = 327085960. Its totient is φ = 47831040.

The previous prime is 126251183. The next prime is 126251201. The reversal of 126251200 is 2152621.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (126251201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28324 + ... + 32476.

Almost surely, 2^126251200 is an apocalyptic number.

126251200 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 126251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163542980).

126251200 is an abundant number, since it is smaller than the sum of its proper divisors (200834760).

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

126251200 is a wasteful number, since it uses less digits than its factorization.

126251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 126251200 is about 11236.1559262944. The cubic root of 126251200 is about 501.6627311874.

The spelling of 126251200 in words is "one hundred twenty-six million, two hundred fifty-one thousand, two hundred".