112126426506432 has 336 divisors, whose sum is σ = 349131700008000. Its totient is φ = 34404198027264.

The previous prime is 112126426506427. The next prime is 112126426506449. The reversal of 112126426506432 is 234605624621211.

It is a happy number.

112126426506432 is a `hidden beast` number, since 1 + 1 + 2 + 126 + 42 + 6 + 50 + 6 + 432 = 666.

It is a super-2 number, since 2×112126426506432² (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, 454181044 + ... + 454427852.

It is an arithmetic number, because the mean of its divisors is an integer number (1039082440500).

Almost surely, 2^{112126426506432} is an apocalyptic number.

112126426506432 is a gapful number since it is divisible by the number (12) 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 112126426506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174565850004000).

112126426506432 is an abundant number, since it is smaller than the sum of its proper divisors (237005273501568).

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

112126426506432 is a wasteful number, since it uses less digits than its factorization.

112126426506432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247225 (or 247186 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 112126426506432 in words is "one hundred twelve trillion, one hundred twenty-six billion, four hundred twenty-six million, five hundred six thousand, four hundred thirty-two".