126121121126 has 64 divisors (see below), whose sum is σ = 268947786240. Its totient is φ = 42690101760.

The previous prime is 126121121083. The next prime is 126121121129. The reversal of 126121121126 is 621121121621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 126121121095 and 126121121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126121121129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818836 + ... + 1886903.

It is an arithmetic number, because the mean of its divisors is an integer number (4202309160).

Almost surely, 2^126121121126 is an apocalyptic number.

126121121126 is an abundant number, since it is smaller than the sum of its proper divisors (142826665114).

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

126121121126 is a wasteful number, since it uses less digits than its factorization.

126121121126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705789.

The product of its digits is 576, while the sum is 26.

Adding to 126121121126 its reverse (621121121621), we get a palindrome (747242242747).

The spelling of 126121121126 in words is "one hundred twenty-six billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-six".