126712677168 has 360 divisors, whose sum is σ = 468926931200. Its totient is φ = 31179582720.

The previous prime is 126712677139. The next prime is 126712677173. The reversal of 126712677168 is 861776217621.

It is a super-2 number, since 2×126712677168² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2290053 + ... + 2344731.

Almost surely, 2^126712677168 is an apocalyptic number.

126712677168 is a gapful number since it is divisible by the number (18) 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 126712677168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234463465600).

126712677168 is an abundant number, since it is smaller than the sum of its proper divisors (342214254032).

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

126712677168 is a wasteful number, since it uses less digits than its factorization.

126712677168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54741 (or 54721 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 126712677168 in words is "one hundred twenty-six billion, seven hundred twelve million, six hundred seventy-seven thousand, one hundred sixty-eight".