| Base | Representation |
|---|---|
| bin | 111000110100011110… |
| … | …1010111100101001000 |
| 3 | 102122221210011100110210 |
| 4 | 1301220331113211020 |
| 5 | 3444344110031440 |
| 6 | 132015532041120 |
| 7 | 11546524622262 |
| oct | 1615075274510 |
| 9 | 378853140423 |
| 10 | 122020002120 |
| 11 | 47826123665 |
| 12 | 1b7943031a0 |
| 13 | b677845ab3 |
| 14 | 5c9772ab32 |
| 15 | 32924b9a80 |
| hex | 1c68f57948 |
122020002120 has 128 divisors (see below), whose sum is σ = 378815875200. Its totient is φ = 31405602816.
The previous prime is 122020002119. The next prime is 122020002121. The reversal of 122020002120 is 21200020221.
It is an interprime number because it is at equal distance from previous prime (122020002119) and next prime (122020002121).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 122020002096 and 122020002105.
It is not an unprimeable number, because it can be changed into a prime (122020002121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15506427 + ... + 15514293.
It is an arithmetic number, because the mean of its divisors is an integer number (2959499025).
Almost surely, 2122020002120 is an apocalyptic number.
122020002120 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 122020002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189407937600).
122020002120 is an abundant number, since it is smaller than the sum of its proper divisors (256795873080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122020002120 is a wasteful number, since it uses less digits than its factorization.
122020002120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12367 (or 12363 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 122020002120 its reverse (21200020221), we get a palindrome (143220022341).
The spelling of 122020002120 in words is "one hundred twenty-two billion, twenty million, two thousand, one hundred twenty".
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