126122643144 has 48 divisors (see below), whose sum is σ = 341619302700. Its totient is φ = 42036309504.

The previous prime is 126122643133. The next prime is 126122643197. The reversal of 126122643144 is 441346221621.

126122643144 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 2 + 2 + 643 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124794040644 + 1328602500 = 353262^2 + 36450^2 .

It is a super-2 number, since 2×126122643144² (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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126122643099 and 126122643108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607212 + ... + 788004.

Almost surely, 2^126122643144 is an apocalyptic number.

It is an amenable number.

126122643144 is an abundant number, since it is smaller than the sum of its proper divisors (215496659556).

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

126122643144 is a wasteful number, since it uses less digits than its factorization.

126122643144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190494 (or 190487 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 126122643144 its reverse (441346221621), we get a palindrome (567468864765).

The spelling of 126122643144 in words is "one hundred twenty-six billion, one hundred twenty-two million, six hundred forty-three thousand, one hundred forty-four".