| Base | Representation |
|---|---|
| bin | 111000110111011111… |
| … | …1000001101011100000 |
| 3 | 102200012211101122200201 |
| 4 | 1301232333001223200 |
| 5 | 4000101000200000 |
| 6 | 132033542554544 |
| 7 | 11552163136264 |
| oct | 1615677015340 |
| 9 | 380184348621 |
| 10 | 122121100000 |
| 11 | 478781a4a29 |
| 12 | 1b802138a54 |
| 13 | b692782223 |
| 14 | 5ca6d260a4 |
| 15 | 329b2d996a |
| hex | 1c6efc1ae0 |
122121100000 has 144 divisors (see below), whose sum is σ = 301057731072. Its totient is φ = 48760000000.
The previous prime is 122121099979. The next prime is 122121100021. The reversal of 122121100000 is 1121221.
122121100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (122121099979) and next prime (122121100021).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a self number, because there is not a number n which added to its sum of digits gives 122121100000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106099425 + ... + 106100575.
It is an arithmetic number, because the mean of its divisors is an integer number (2090678688).
Almost surely, 2122121100000 is an apocalyptic number.
122121100000 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 122121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150528865536).
122121100000 is an abundant number, since it is smaller than the sum of its proper divisors (178936631072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122121100000 is an equidigital number, since it uses as much as digits as its factorization.
122121100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2247 (or 2219 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 122121100000 its reverse (1121221), we get a palindrome (122122221221).
The spelling of 122121100000 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand".
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