126112341300 has 144 divisors (see below), whose sum is σ = 399724416000. Its totient is φ = 30444579200.

The previous prime is 126112341263. The next prime is 126112341301. The reversal of 126112341300 is 3143211621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126112341301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708751 + ... + 868649.

It is an arithmetic number, because the mean of its divisors is an integer number (2775864000).

Almost surely, 2^126112341300 is an apocalyptic number.

126112341300 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 126112341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199862208000).

126112341300 is an abundant number, since it is smaller than the sum of its proper divisors (273612074700).

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

126112341300 is a wasteful number, since it uses less digits than its factorization.

126112341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160166 (or 160159 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 126112341300 its reverse (3143211621), we get a palindrome (129255552921).

The spelling of 126112341300 in words is "one hundred twenty-six billion, one hundred twelve million, three hundred forty-one thousand, three hundred".