126491507712 has 308 divisors, whose sum is σ = 392255883720. Its totient is φ = 40702943232.

The previous prime is 126491507711. The next prime is 126491507881. The reversal of 126491507712 is 217705194621.

126491507712 is a `hidden beast` number, since 12 + 64 + 9 + 1 + 507 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126491507711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21645463 + ... + 21651305.

Almost surely, 2^126491507712 is an apocalyptic number.

126491507712 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 126491507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196127941860).

126491507712 is an abundant number, since it is smaller than the sum of its proper divisors (265764376008).

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

126491507712 is an frugal number, since it uses more digits than its factorization.

126491507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 126491507712 in words is "one hundred twenty-six billion, four hundred ninety-one million, five hundred seven thousand, seven hundred twelve".