Base | Representation |
---|---|
bin | 11011101111110011011101… |
… | …110000100100100010000000 |
3 | 121000002011202222200200002002 |
4 | 123233303131300210202000 |
5 | 111443334203303424412 |
6 | 1111312513514043132 |
7 | 34463354634251636 |
oct | 3357633560444200 |
9 | 530064688620062 |
10 | 122032331311232 |
11 | 35979691715721 |
12 | 1182a824a194a8 |
13 | 53127a4042024 |
14 | 221c579827356 |
15 | e1951ac65dc2 |
hex | 6efcddc24880 |
122032331311232 has 64 divisors (see below), whose sum is σ = 244869447026400. Its totient is φ = 60574934329344.
The previous prime is 122032331311223. The next prime is 122032331311249. The reversal of 122032331311232 is 232113133230221.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 122032331311195 and 122032331311204.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539215763 + ... + 539442029.
Almost surely, 2122032331311232 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 122032331311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122434723513200).
122032331311232 is an abundant number, since it is smaller than the sum of its proper divisors (122837115715168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122032331311232 is a wasteful number, since it uses less digits than its factorization.
122032331311232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256733 (or 256721 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 29.
Adding to 122032331311232 its reverse (232113133230221), we get a palindrome (354145464541453).
The spelling of 122032331311232 in words is "one hundred twenty-two trillion, thirty-two billion, three hundred thirty-one million, three hundred eleven thousand, two hundred thirty-two".
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