| Base | Representation |
|---|---|
| bin | 11011101111101001110110… |
| … | …101011111010010111010110 |
| 3 | 121000001012010211021112100100 |
| 4 | 123233221312223322113112 |
| 5 | 111443202040044231402 |
| 6 | 1111304045525354530 |
| 7 | 34462541132364060 |
| oct | 3357516653722726 |
| 9 | 530035124245310 |
| 10 | 122022012102102 |
| 11 | 359752767a7112 |
| 12 | 11828824b68a46 |
| 13 | 531181b18c618 |
| 14 | 221bc7b130730 |
| 15 | e19114d5271c |
| hex | 6efa76afa5d6 |
122022012102102 has 384 divisors, whose sum is σ = 314060489533440. Its totient is φ = 33522128640000.
The previous prime is 122022012102101. The next prime is 122022012102131. The reversal of 122022012102102 is 201201210220221.
It is a happy number.
122022012102102 is a `hidden beast` number, since 1 + 2 + 20 + 220 + 1 + 210 + 210 + 2 = 666.
It is a super-4 number, since 4×1220220121021024 (a number of 57 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122022012102101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64188327352 + ... + 64188329252.
It is an arithmetic number, because the mean of its divisors is an integer number (817865858160).
Almost surely, 2122022012102102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122022012102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157030244766720).
122022012102102 is an abundant number, since it is smaller than the sum of its proper divisors (192038477431338).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122022012102102 is a wasteful number, since it uses less digits than its factorization.
122022012102102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2780 (or 2777 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 122022012102102 its reverse (201201210220221), we get a palindrome (323223222322323).
The spelling of 122022012102102 in words is "one hundred twenty-two trillion, twenty-two billion, twelve million, one hundred two thousand, one hundred two".
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