126032818832800 has 144 divisors (see below), whose sum is σ = 335665139618592. Its totient is φ = 45827818214400.

The previous prime is 126032818832771. The next prime is 126032818832863. The reversal of 126032818832800 is 8238818230621.

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 23 ways as a sum of consecutive naturals, for example, 180341647 + ... + 181039153.

It is an arithmetic number, because the mean of its divisors is an integer number (2331007914018).

Almost surely, 2^{126032818832800} is an apocalyptic number.

126032818832800 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 126032818832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832569809296).

126032818832800 is an abundant number, since it is smaller than the sum of its proper divisors (209632320785792).

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

126032818832800 is a wasteful number, since it uses less digits than its factorization.

126032818832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718071 (or 718058 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 126032818832800 in words is "one hundred twenty-six trillion, thirty-two billion, eight hundred eighteen million, eight hundred thirty-two thousand, eight hundred".