112102740288 has 700 divisors, whose sum is σ = 419735467360. Its totient is φ = 28979596800.

The previous prime is 112102740283. The next prime is 112102740311. The reversal of 112102740288 is 882047201211.

It is a happy number.

112102740288 is a `hidden beast` number, since 11 + 210 + 27 + 402 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102740283) 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 99 ways as a sum of consecutive naturals, for example, 531292503 + ... + 531292713.

Almost surely, 2^112102740288 is an apocalyptic number.

112102740288 is a gapful number since it is divisible by the number (18) 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 112102740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209867733680).

112102740288 is an abundant number, since it is smaller than the sum of its proper divisors (307632727072).

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

112102740288 is an frugal number, since it uses more digits than its factorization.

112102740288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 112102740288 its reverse (882047201211), we get a palindrome (994149941499).

The spelling of 112102740288 in words is "one hundred twelve billion, one hundred two million, seven hundred forty thousand, two hundred eighty-eight".