| Base | Representation |
|---|---|
| bin | 1010000011100011000001… |
| … | …01001000000011010001000 |
| 3 | 2220021220020011200221222200 |
| 4 | 11001301200221000122020 |
| 5 | 10344241101412031440 |
| 6 | 115010055305520200 |
| 7 | 4441355526226311 |
| oct | 501614051003210 |
| 9 | 86256204627880 |
| 10 | 22112113002120 |
| 11 | 7055770367779 |
| 12 | 2591585aa3060 |
| 13 | c45217a35ccb |
| 14 | 5663367a3608 |
| 15 | 2852c06e0c30 |
| hex | 141c60a40688 |
22112113002120 has 192 divisors, whose sum is σ = 73622223969840. Its totient is φ = 5752348876800.
The previous prime is 22112113002107. The next prime is 22112113002137. The reversal of 22112113002120 is 2120031121122.
22112113002120 is a `hidden beast` number, since 2 + 211 + 211 + 30 + 0 + 212 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2260650574116 + 19851462428004 = 1503546^2 + 4455498^2 .
It is a super-3 number, since 3×221121130021203 (a number of 41 digits) contains 333 as substring.
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 = 22112113002093 and 22112113002102.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258212910 + ... + 258298530.
Almost surely, 222112113002120 is an apocalyptic number.
22112113002120 is a gapful number since it is divisible by the number (20) 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 22112113002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36811111984920).
22112113002120 is an abundant number, since it is smaller than the sum of its proper divisors (51510110967720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22112113002120 is a wasteful number, since it uses less digits than its factorization.
22112113002120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103176 (or 103169 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 22112113002120 its reverse (2120031121122), we get a palindrome (24232144123242).
The spelling of 22112113002120 in words is "twenty-two trillion, one hundred twelve billion, one hundred thirteen million, two thousand, one hundred twenty".
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