126014112224 has 432 divisors, whose sum is σ = 359730579600. Its totient is φ = 42918543360.

The previous prime is 126014112187. The next prime is 126014112269. The reversal of 126014112224 is 422211410621.

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 = 126014112193 and 126014112202.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 46861472 + ... + 46864160.

It is an arithmetic number, because the mean of its divisors is an integer number (832709675).

Almost surely, 2^126014112224 is an apocalyptic number.

126014112224 is a gapful number since it is divisible by the number (14) 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 126014112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179865289800).

126014112224 is an abundant number, since it is smaller than the sum of its proper divisors (233716467376).

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

126014112224 is a wasteful number, since it uses less digits than its factorization.

126014112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 126014112224 its reverse (422211410621), we get a palindrome (548225522845).

The spelling of 126014112224 in words is "one hundred twenty-six billion, fourteen million, one hundred twelve thousand, two hundred twenty-four".