126125222500 has 60 divisors (see below), whose sum is σ = 276427374300. Its totient is φ = 50337280000.

The previous prime is 126125222467. The next prime is 126125222519. The reversal of 126125222500 is 5222521621.

It can be written as a sum of positive squares in 10 ways, for example, as 114314314816 + 11810907684 = 338104^2 + 108678^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1066320 + ... + 1178680.

It is an arithmetic number, because the mean of its divisors is an integer number (4607122905).

Almost surely, 2^126125222500 is an apocalyptic number.

126125222500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126125222500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138213687150).

126125222500 is an abundant number, since it is smaller than the sum of its proper divisors (150302151800).

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

126125222500 is a wasteful number, since it uses less digits than its factorization.

126125222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112834 (or 112817 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 126125222500 in words is "one hundred twenty-six billion, one hundred twenty-five million, two hundred twenty-two thousand, five hundred".