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112322112120 = 2332529371012879
BaseRepresentation
bin110100010011011101…
…0110110101001111000
3101201220220212111100200
41220212322312221320
53320013430041440
6123333340402200
711054306125431
oct1504672665170
9351826774320
10112322112120
11436a99a4339
1219928546360
13a79061494a
14561776a488
152dc5dd5c30
hex1a26eb6a78

112322112120 has 384 divisors, whose sum is σ = 391817088000. Its totient is φ = 27849830400.

The previous prime is 112322112103. The next prime is 112322112127. The reversal of 112322112120 is 21211223211.

112322112120 is a `hidden beast` number, since 11 + 232 + 211 + 212 + 0 = 666.

112322112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112322112093 and 112322112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112322112127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39012841 + ... + 39015719.

It is an arithmetic number, because the mean of its divisors is an integer number (1020357000).

Almost surely, 2112322112120 is an apocalyptic number.

112322112120 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 112322112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195908544000).

112322112120 is an abundant number, since it is smaller than the sum of its proper divisors (279494975880).

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

112322112120 is a wasteful number, since it uses less digits than its factorization.

112322112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112322112120 its reverse (21211223211), we get a palindrome (133533335331).

The spelling of 112322112120 in words is "one hundred twelve billion, three hundred twenty-two million, one hundred twelve thousand, one hundred twenty".