Base | Representation |
---|---|
bin | 11011110010110011011101… |
… | …001110101001001000100000 |
3 | 121000210212212220102011022000 |
4 | 123302303131032221020200 |
5 | 112010223402044104032 |
6 | 1111551325522044000 |
7 | 34514303336352540 |
oct | 3362633516511040 |
9 | 530725786364260 |
10 | 122238480847392 |
11 | 35a49059762408 |
12 | 11862777aa9600 |
13 | 53290683c59a0 |
14 | 2228534521320 |
15 | e1ea8400ee7c |
hex | 6f2cdd3a9220 |
122238480847392 has 1536 divisors, whose sum is σ = 476594329559040. Its totient is φ = 29563630387200.
The previous prime is 122238480847391. The next prime is 122238480847397. The reversal of 122238480847392 is 293748084832221.
122238480847392 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 3 + 8 + 480 + 84 + 73 + 9 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (122238480847391) by changing a digit.
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 255 ways as a sum of consecutive naturals, for example, 25461043392 + ... + 25461048192.
It is an arithmetic number, because the mean of its divisors is an integer number (310282766640).
Almost surely, 2122238480847392 is an apocalyptic number.
122238480847392 is a gapful number since it is divisible by the number (12) 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 122238480847392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238297164779520).
122238480847392 is an abundant number, since it is smaller than the sum of its proper divisors (354355848711648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122238480847392 is a wasteful number, since it uses less digits than its factorization.
122238480847392 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5343 (or 5329 counting only the distinct ones).
The product of its (nonzero) digits is 74317824, while the sum is 63.
The spelling of 122238480847392 in words is "one hundred twenty-two trillion, two hundred thirty-eight billion, four hundred eighty million, eight hundred forty-seven thousand, three hundred ninety-two".
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