126305141028 has 96 divisors (see below), whose sum is σ = 332230778880. Its totient is φ = 37038477600.

The previous prime is 126305140993. The next prime is 126305141029. The reversal of 126305141028 is 820141503621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 126305141028.

It is not an unprimeable number, because it can be changed into a prime (126305141029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3916353 + ... + 3948471.

It is an arithmetic number, because the mean of its divisors is an integer number (3460737280).

Almost surely, 2^126305141028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126305141028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166115389440).

126305141028 is an abundant number, since it is smaller than the sum of its proper divisors (205925637852).

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

126305141028 is a wasteful number, since it uses less digits than its factorization.

126305141028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32230 (or 32166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 126305141028 its reverse (820141503621), we get a palindrome (946446644649).

The spelling of 126305141028 in words is "one hundred twenty-six billion, three hundred five million, one hundred forty-one thousand, twenty-eight".