| Base | Representation |
|---|---|
| bin | 101101100000001010001001… |
| … | …011100011011010000100100 |
| 3 | 222020120110220002221221221112 |
| 4 | 231200022021130123100210 |
| 5 | 202212244340100320400 |
| 6 | 1545342441100404152 |
| 7 | 60103224006241340 |
| oct | 5540121134332044 |
| 9 | 866513802857845 |
| 10 | 200122012120100 |
| 11 | 588462a5743044 |
| 12 | 1a540ba0b46658 |
| 13 | 878856a2a5155 |
| 14 | 375bd5829c620 |
| 15 | 18209759ed835 |
| hex | b6028971b424 |
200122012120100 has 288 divisors, whose sum is σ = 526223379548160. Its totient is φ = 64581216860160.
The previous prime is 200122012120097. The next prime is 200122012120103. The reversal of 200122012120100 is 1021210221002.
It is an interprime number because it is at equal distance from previous prime (200122012120097) and next prime (200122012120103).
It is a Harshad number since it is a multiple of its sum of digits (14).
It is not an unprimeable number, because it can be changed into a prime (200122012120103) 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 95 ways as a sum of consecutive naturals, for example, 252487019 + ... + 253278381.
It is an arithmetic number, because the mean of its divisors is an integer number (1827164512320).
Almost surely, 2200122012120100 is an apocalyptic number.
200122012120100 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 200122012120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263111689774080).
200122012120100 is an abundant number, since it is smaller than the sum of its proper divisors (326101367428060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200122012120100 is a wasteful number, since it uses less digits than its factorization.
200122012120100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 791659 (or 791652 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 200122012120100 its reverse (1021210221002), we get a palindrome (201143222341102).
The spelling of 200122012120100 in words is "two hundred trillion, one hundred twenty-two billion, twelve million, one hundred twenty thousand, one hundred".
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