1126727110751 has 16 divisors (see below), whose sum is σ = 1234132422048. Its totient is φ = 1020156633600.

The previous prime is 1126727110721. The next prime is 1126727110771. The reversal of 1126727110751 is 1570117276211.

It is a cyclic number.

It is not a de Polignac number, because 1126727110751 - 2⁶ = 1126727110687 is a prime.

It is a super-3 number, since 3×1126727110751³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1126727110699 and 1126727110708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126727110721) 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 15 ways as a sum of consecutive naturals, for example, 3927635 + ... + 4204731.

It is an arithmetic number, because the mean of its divisors is an integer number (77133276378).

Almost surely, 2^{1126727110751} is an apocalyptic number.

1126727110751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1126727110751 is a deficient number, since it is larger than the sum of its proper divisors (107405311297).

1126727110751 is a wasteful number, since it uses less digits than its factorization.

1126727110751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278602.

The product of its (nonzero) digits is 41160, while the sum is 41.

The spelling of 1126727110751 in words is "one trillion, one hundred twenty-six billion, seven hundred twenty-seven million, one hundred ten thousand, seven hundred fifty-one".