126112236200000 has 336 divisors, whose sum is σ = 331476466179600. Its totient is φ = 47517388800000.

The previous prime is 126112236199993. The next prime is 126112236200023. The reversal of 126112236200000 is 2632211621.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 43573412232256 + 82538823967744 = 6601016^2 + 9085088^2 .

It is a super-2 number, since 2×126112236200000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237534836 + ... + 238065164.

It is an arithmetic number, because the mean of its divisors is an integer number (986537101725).

Almost surely, 2^{126112236200000} is an apocalyptic number.

126112236200000 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 126112236200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165738233089800).

126112236200000 is an abundant number, since it is smaller than the sum of its proper divisors (205364229979600).

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

126112236200000 is an frugal number, since it uses more digits than its factorization.

126112236200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530436 (or 530406 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 126112236200000 its reverse (2632211621), we get a palindrome (126114868411621).

The spelling of 126112236200000 in words is "one hundred twenty-six trillion, one hundred twelve billion, two hundred thirty-six million, two hundred thousand".