Base | Representation |
---|---|
bin | 111001000000001000… |
… | …1110010101111110000 |
3 | 102200222001022220022020 |
4 | 1302000101302233300 |
5 | 4001144233412430 |
6 | 132122425311440 |
7 | 11562315210003 |
oct | 1620021625760 |
9 | 380861286266 |
10 | 122411232240 |
11 | 47a06a49640 |
12 | 1b883335580 |
13 | b70a9066cb |
14 | 5cd368b53a |
15 | 32b69e9b10 |
hex | 1c80472bf0 |
122411232240 has 320 divisors, whose sum is σ = 439056184320. Its totient is φ = 27883192320.
The previous prime is 122411232211. The next prime is 122411232277. The reversal of 122411232240 is 42232114221.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 122411232240.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31817997 + ... + 31821843.
It is an arithmetic number, because the mean of its divisors is an integer number (1372050576).
Almost surely, 2122411232240 is an apocalyptic number.
122411232240 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 122411232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219528092160).
122411232240 is an abundant number, since it is smaller than the sum of its proper divisors (316644952080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122411232240 is a wasteful number, since it uses less digits than its factorization.
122411232240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4600 (or 4594 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
Adding to 122411232240 its reverse (42232114221), we get a palindrome (164643346461).
The spelling of 122411232240 in words is "one hundred twenty-two billion, four hundred eleven million, two hundred thirty-two thousand, two hundred forty".
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