126122508800 has 270 divisors, whose sum is σ = 324356726727. Its totient is φ = 48600760320.

The previous prime is 126122508739. The next prime is 126122508803. The reversal of 126122508800 is 8805221621.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 53757204736 + 72365304064 = 231856^2 + 269008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=251120.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126122508803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1727705564 + ... + 1727705636.

Almost surely, 2^126122508800 is an apocalyptic number.

126122508800 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 126122508800

126122508800 is an abundant number, since it is smaller than the sum of its proper divisors (198234217927).

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

126122508800 is an frugal number, since it uses more digits than its factorization.

126122508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 126122508800 in words is "one hundred twenty-six billion, one hundred twenty-two million, five hundred eight thousand, eight hundred".