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120123131112 = 233317731373271
BaseRepresentation
bin110111111011111100…
…1011000010011101000
3102111001120212022122000
41233313321120103220
53432003010143422
6131103411331000
711451522524145
oct1576771302350
9374046768560
10120123131112
1146a42415376
121b344bb0a60
13b43486950a
145b578393cc
1531d0bc8cac
hex1bf7e584e8

120123131112 has 256 divisors, whose sum is σ = 360867571200. Its totient is φ = 36886855680.

The previous prime is 120123131087. The next prime is 120123131257. The reversal of 120123131112 is 211131321021.

120123131112 is a `hidden beast` number, since 120 + 1 + 231 + 311 + 1 + 2 = 666.

120123131112 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36722037 + ... + 36725307.

It is an arithmetic number, because the mean of its divisors is an integer number (1409638950).

Almost surely, 2120123131112 is an apocalyptic number.

120123131112 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 120123131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180433785600).

120123131112 is an abundant number, since it is smaller than the sum of its proper divisors (240744440088).

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

120123131112 is a wasteful number, since it uses less digits than its factorization.

120123131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120123131112 its reverse (211131321021), we get a palindrome (331254452133).

The spelling of 120123131112 in words is "one hundred twenty billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred twelve".