Base | Representation |
---|---|
bin | 11011101111100111111111… |
… | …011110111011101101001100 |
3 | 121000000222222110010112112021 |
4 | 123233213333132323231030 |
5 | 111443133441111223040 |
6 | 1111303115245015524 |
7 | 34462440436524610 |
oct | 3357477736735514 |
9 | 530028873115467 |
10 | 122020012211020 |
11 | 3597443a924370 |
12 | 118283672545a4 |
13 | 531158ca52a11 |
14 | 221bb2b6a3340 |
15 | e190494b224a |
hex | 6ef9ff7bbb4c |
122020012211020 has 192 divisors, whose sum is σ = 325763010220032. Its totient is φ = 37284279552000.
The previous prime is 122020012211011. The next prime is 122020012211029. The reversal of 122020012211020 is 20112210020221.
It is a happy number.
122020012211020 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 (122020012211011) and next prime (122020012211029).
It is a junction number, because it is equal to n+sod(n) for n = 122020012210985 and 122020012211003.
It is not an unprimeable number, because it can be changed into a prime (122020012211029) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99867000 + ... + 101081440.
It is an arithmetic number, because the mean of its divisors is an integer number (1696682344896).
Almost surely, 2122020012211020 is an apocalyptic number.
122020012211020 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 122020012211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162881505110016).
122020012211020 is an abundant number, since it is smaller than the sum of its proper divisors (203742998009012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122020012211020 is a wasteful number, since it uses less digits than its factorization.
122020012211020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1215752 (or 1215750 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 122020012211020 its reverse (20112210020221), we get a palindrome (142132222231241).
The spelling of 122020012211020 in words is "one hundred twenty-two trillion, twenty billion, twelve million, two hundred eleven thousand, twenty".
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