126300811203072 has 960 divisors, whose sum is σ = 418994642626560. Its totient is φ = 37712753971200.

The previous prime is 126300811203043. The next prime is 126300811203097. The reversal of 126300811203072 is 270302118003621.

126300811203072 is a `hidden beast` number, since 1 + 2 + 6 + 300 + 81 + 1 + 203 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70836124293 + ... + 70836126075.

It is an arithmetic number, because the mean of its divisors is an integer number (436452752736).

Almost surely, 2^{126300811203072} is an apocalyptic number.

126300811203072 is a gapful number since it is divisible by the number (12) 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 126300811203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209497321313280).

126300811203072 is an abundant number, since it is smaller than the sum of its proper divisors (292693831423488).

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

126300811203072 is an frugal number, since it uses more digits than its factorization.

126300811203072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 126300811203072 its reverse (270302118003621), we get a palindrome (396602929206693).

The spelling of 126300811203072 in words is "one hundred twenty-six trillion, three hundred billion, eight hundred eleven million, two hundred three thousand, seventy-two".