126805221223757 has 16 divisors (see below), whose sum is σ = 134649248149872. Its totient is φ = 119003983380480.

The previous prime is 126805221223691. The next prime is 126805221223819. The reversal of 126805221223757 is 757322122508621.

It can be written as a sum of positive squares in 8 ways, for example, as 61590648816841 + 65214572406916 = 7847971^2 + 8075554^2 .

It is a cyclic number.

It is not a de Polignac number, because 126805221223757 - 2¹⁰ = 126805221222733 is a prime.

It is a super-2 number, since 2×126805221223757² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126805221223699 and 126805221223708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126805221226757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185551907 + ... + 186234047.

It is an arithmetic number, because the mean of its divisors is an integer number (8415578009367).

Almost surely, 2^{126805221223757} is an apocalyptic number.

126805221223757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

126805221223757 is a deficient number, since it is larger than the sum of its proper divisors (7844026926115).

126805221223757 is a wasteful number, since it uses less digits than its factorization.

126805221223757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713488.

The product of its (nonzero) digits is 5644800, while the sum is 53.

The spelling of 126805221223757 in words is "one hundred twenty-six trillion, eight hundred five billion, two hundred twenty-one million, two hundred twenty-three thousand, seven hundred fifty-seven".