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112322223120 = 24353137616689
BaseRepresentation
bin110100010011011101…
…1010001110000010000
3101201220221002010121210
41220212323101300100
53320013442114440
6123333343020120
711054310100152
oct1504673216020
9351827063553
10112322223120
11436a9a6a778
121992859a640
13a790653323
145617798ad2
152dc5e08a80
hex1a26ed1c10

112322223120 has 320 divisors, whose sum is σ = 375253125120. Its totient is φ = 27736473600.

The previous prime is 112322223109. The next prime is 112322223127. The reversal of 112322223120 is 21322223211.

112322223120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (112322223127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16788736 + ... + 16795424.

It is an arithmetic number, because the mean of its divisors is an integer number (1172666016).

Almost surely, 2112322223120 is an apocalyptic number.

112322223120 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 112322223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187626562560).

112322223120 is an abundant number, since it is smaller than the sum of its proper divisors (262930902000).

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

112322223120 is a wasteful number, since it uses less digits than its factorization.

112322223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 112322223120 its reverse (21322223211), we get a palindrome (133644446331).

Subtracting from 112322223120 its reverse (21322223211), we obtain a palindrome (90999999909).

The spelling of 112322223120 in words is "one hundred twelve billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty".