126114112656 has 120 divisors (see below), whose sum is σ = 403450766784. Its totient is φ = 36024940800.

The previous prime is 126114112651. The next prime is 126114112711. The reversal of 126114112656 is 656211411621.

126114112656 is a `hidden beast` number, since 1 + 2 + 611 + 4 + 11 + 26 + 5 + 6 = 666.

It is a super-2 number, since 2×126114112656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126114112656.

It is not an unprimeable number, because it can be changed into a prime (126114112651) 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 23 ways as a sum of consecutive naturals, for example, 6139555 + ... + 6160061.

Almost surely, 2^126114112656 is an apocalyptic number.

126114112656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126114112656 is an abundant number, since it is smaller than the sum of its proper divisors (277336654128).

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

126114112656 is a wasteful number, since it uses less digits than its factorization.

126114112656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26629 (or 26620 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 126114112656 in words is "one hundred twenty-six billion, one hundred fourteen million, one hundred twelve thousand, six hundred fifty-six".