126772237512 has 180 divisors, whose sum is σ = 361988665665. Its totient is φ = 41450754240.

The previous prime is 126772237483. The next prime is 126772237519. The reversal of 126772237512 is 215732277621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

126772237512 is a `hidden beast` number, since 1 + 2 + 67 + 72 + 2 + 3 + 7 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81221580036 + 45550657476 = 284994^2 + 213426^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=251766.

It is not an unprimeable number, because it can be changed into a prime (126772237519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 643513798 + ... + 643513994.

Almost surely, 2^126772237512 is an apocalyptic number.

126772237512 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 126772237512

126772237512 is an abundant number, since it is smaller than the sum of its proper divisors (235216428153).

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

126772237512 is an frugal number, since it uses more digits than its factorization.

126772237512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 273 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 126772237512 in words is "one hundred twenty-six billion, seven hundred seventy-two million, two hundred thirty-seven thousand, five hundred twelve".