126968435712 has 220 divisors, whose sum is σ = 399112924320. Its totient is φ = 40094797824.

The previous prime is 126968435689. The next prime is 126968435729. The reversal of 126968435712 is 217534869621.

It is a happy number.

126968435712 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 68 + 4 + 3 + 571 + 2 = 666.

It is a super-2 number, since 2×126968435712² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1535653 + ... + 1616219.

It is an arithmetic number, because the mean of its divisors is an integer number (1814149656).

Almost surely, 2^126968435712 is an apocalyptic number.

126968435712 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 126968435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199556462160).

126968435712 is an abundant number, since it is smaller than the sum of its proper divisors (272144488608).

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

126968435712 is an equidigital number, since it uses as much as digits as its factorization.

126968435712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80618 (or 80591 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 126968435712 in words is "one hundred twenty-six billion, nine hundred sixty-eight million, four hundred thirty-five thousand, seven hundred twelve".