126436121321600 has 48 divisors (see below), whose sum is σ = 312336730960170. Its totient is φ = 50574448527360.

The previous prime is 126436121321597. The next prime is 126436121321617. The reversal of 126436121321600 is 6123121634621.

It can be written as a sum of positive squares in 3 ways, for example, as 115999965227584 + 10436156094016 = 10770328^2 + 3230504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19755640757 + ... + 19755647156.

Almost surely, 2^{126436121321600} is an apocalyptic number.

126436121321600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126436121321600 is an abundant number, since it is smaller than the sum of its proper divisors (185900609638570).

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

126436121321600 is an equidigital number, since it uses as much as digits as its factorization.

126436121321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39511287937 (or 39511287920 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 126436121321600 in words is "one hundred twenty-six trillion, four hundred thirty-six billion, one hundred twenty-one million, three hundred twenty-one thousand, six hundred".