| Base | Representation |
|---|---|
| bin | 110111111000111100… |
| … | …0001000110010100000 |
| 3 | 102110210112211112202200 |
| 4 | 1233301320020302200 |
| 5 | 3431301132021422 |
| 6 | 131045403013200 |
| 7 | 11446155242445 |
| oct | 1576170106240 |
| 9 | 373715745680 |
| 10 | 120022142112 |
| 11 | 469a0408894 |
| 12 | 1b31720a200 |
| 13 | b41996a802 |
| 14 | 5b4826b9cc |
| 15 | 31c6dcb2ac |
| hex | 1bf1e08ca0 |
120022142112 has 144 divisors (see below), whose sum is σ = 361141522560. Its totient is φ = 37705015296.
The previous prime is 120022142081. The next prime is 120022142117. The reversal of 120022142112 is 211241220021.
120022142112 is a `hidden beast` number, since 1 + 20 + 0 + 221 + 421 + 1 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (120022142117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999273 + ... + 1112919.
It is an arithmetic number, because the mean of its divisors is an integer number (2507927240).
Almost surely, 2120022142112 is an apocalyptic number.
120022142112 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 120022142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180570761280).
120022142112 is an abundant number, since it is smaller than the sum of its proper divisors (241119380448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120022142112 is a wasteful number, since it uses less digits than its factorization.
120022142112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113875 (or 113864 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 120022142112 its reverse (211241220021), we get a palindrome (331263362133).
The spelling of 120022142112 in words is "one hundred twenty billion, twenty-two million, one hundred forty-two thousand, one hundred twelve".
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