126700929983232 has 1152 divisors, whose sum is σ = 423490636800000. Its totient is φ = 37034104504320.

The previous prime is 126700929983227. The next prime is 126700929983233. The reversal of 126700929983232 is 232389929007621.

126700929983232 is a `hidden beast` number, since 1 + 267 + 0 + 0 + 9 + 299 + 83 + 2 + 3 + 2 = 666.

126700929983232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×126700929983232² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126700929983232.

It is not an unprimeable number, because it can be changed into a prime (126700929983233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96940267123 + ... + 96940268429.

It is an arithmetic number, because the mean of its divisors is an integer number (367613400000).

Almost surely, 2^{126700929983232} is an apocalyptic number.

126700929983232 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 126700929983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211745318400000).

126700929983232 is an abundant number, since it is smaller than the sum of its proper divisors (296789706816768).

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

126700929983232 is a wasteful number, since it uses less digits than its factorization.

126700929983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 126700929983232 in words is "one hundred twenty-six trillion, seven hundred billion, nine hundred twenty-nine million, nine hundred eighty-three thousand, two hundred thirty-two".