Base | Representation |
---|---|
bin | 11011110001001000001100… |
… | …101001001010010001011000 |
3 | 121000101212121121022020202122 |
4 | 123301020030221022101120 |
5 | 112001332020411223112 |
6 | 1111422401454320412 |
7 | 34503055344165446 |
oct | 3361101451122130 |
9 | 530355547266678 |
10 | 122123312211032 |
11 | 35a04229aa4300 |
12 | 118443961b9108 |
13 | 531b243144792 |
14 | 2222b2aaddb96 |
15 | e1ba9329e872 |
hex | 6f120ca4a458 |
122123312211032 has 96 divisors (see below), whose sum is σ = 257048124535440. Its totient is φ = 54333850771200.
The previous prime is 122123312211023. The next prime is 122123312211071. The reversal of 122123312211032 is 230112213321221.
It is a junction number, because it is equal to n+sod(n) for n = 122123312210992 and 122123312211010.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 18771923 + ... + 24426045.
Almost surely, 2122123312211032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122123312211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128524062267720).
122123312211032 is an abundant number, since it is smaller than the sum of its proper divisors (134924812324408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122123312211032 is a wasteful number, since it uses less digits than its factorization.
122123312211032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5654625 (or 5654610 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 26.
Adding to 122123312211032 its reverse (230112213321221), we get a palindrome (352235525532253).
The spelling of 122123312211032 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred twelve million, two hundred eleven thousand, thirty-two".
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