126328880987712 has 2016 divisors, whose sum is σ = 453329859790080. Its totient is φ = 33246786355200.

The previous prime is 126328880987671. The next prime is 126328880987719. The reversal of 126328880987712 is 217789088823621.

126328880987712 is a `hidden beast` number, since 1 + 263 + 288 + 8 + 0 + 9 + 8 + 77 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (126328880987719) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 166003785412 + ... + 166003786172.

It is an arithmetic number, because the mean of its divisors is an integer number (224866001880).

Almost surely, 2^{126328880987712} is an apocalyptic number.

126328880987712 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 126328880987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226664929895040).

126328880987712 is an abundant number, since it is smaller than the sum of its proper divisors (327000978802368).

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

126328880987712 is a wasteful number, since it uses less digits than its factorization.

126328880987712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 126328880987712 in words is "one hundred twenty-six trillion, three hundred twenty-eight billion, eight hundred eighty million, nine hundred eighty-seven thousand, seven hundred twelve".