112120235136 has 1152 divisors, whose sum is σ = 430960608000. Its totient is φ = 27897053184.

The previous prime is 112120235093. The next prime is 112120235137. The reversal of 112120235136 is 631532021211.

112120235136 is a `hidden beast` number, since 1 + 1 + 2 + 120 + 23 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120235137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1535893596 + ... + 1535893668.

It is an arithmetic number, because the mean of its divisors is an integer number (374097750).

Almost surely, 2^112120235136 is an apocalyptic number.

112120235136 is a gapful number since it is divisible by the number (16) 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 112120235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215480304000).

112120235136 is an abundant number, since it is smaller than the sum of its proper divisors (318840372864).

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

112120235136 is a wasteful number, since it uses less digits than its factorization.

112120235136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 112120235136 its reverse (631532021211), we get a palindrome (743652256347).

The spelling of 112120235136 in words is "one hundred twelve billion, one hundred twenty million, two hundred thirty-five thousand, one hundred thirty-six".