126800968127232 has 288 divisors, whose sum is σ = 387756261136384. Its totient is φ = 36034854912000.

The previous prime is 126800968127221. The next prime is 126800968127237. The reversal of 126800968127232 is 232721869008621.

It is not an unprimeable number, because it can be changed into a prime (126800968127237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875522088 + ... + 875666904.

Almost surely, 2^{126800968127232} is an apocalyptic number.

126800968127232 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 126800968127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193878130568192).

126800968127232 is an abundant number, since it is smaller than the sum of its proper divisors (260955293009152).

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

126800968127232 is a wasteful number, since it uses less digits than its factorization.

126800968127232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145715 (or 145701 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 126800968127232 in words is "one hundred twenty-six trillion, eight hundred billion, nine hundred sixty-eight million, one hundred twenty-seven thousand, two hundred thirty-two".