| Base | Representation |
|---|---|
| bin | 111000110111001100… |
| … | …1010001001011010000 |
| 3 | 102200012010202210012010 |
| 4 | 1301232121101023100 |
| 5 | 4000040431431000 |
| 6 | 132032550502520 |
| 7 | 11552013043164 |
| oct | 1615631211320 |
| 9 | 380163683163 |
| 10 | 122111202000 |
| 11 | 47872654467 |
| 12 | 1b7ba964a40 |
| 13 | b6906c7c18 |
| 14 | 5ca58aaca4 |
| 15 | 329a4d1d50 |
| hex | 1c6e6512d0 |
122111202000 has 240 divisors, whose sum is σ = 403556152896. Its totient is φ = 31766144000.
The previous prime is 122111201999. The next prime is 122111202001. The reversal of 122111202000 is 202111221.
It is an interprime number because it is at equal distance from previous prime (122111201999) and next prime (122111202001).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1221112020002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122111202001) 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 47 ways as a sum of consecutive naturals, for example, 10079947 + ... + 10092053.
Almost surely, 2122111202000 is an apocalyptic number.
122111202000 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 122111202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201778076448).
122111202000 is an abundant number, since it is smaller than the sum of its proper divisors (281444950896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122111202000 is a wasteful number, since it uses less digits than its factorization.
122111202000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12215 (or 12158 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 122111202000 its reverse (202111221), we get a palindrome (122313313221).
The spelling of 122111202000 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred two thousand".
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