Base | Representation |
---|---|
bin | 111000111101011110… |
… | …1011111001011010000 |
3 | 102200201211110121101202 |
4 | 1301322331133023100 |
5 | 4001003414214440 |
6 | 132105521250332 |
7 | 11560153020053 |
oct | 1617275371320 |
9 | 380654417352 |
10 | 122322023120 |
11 | 479706584a0 |
12 | 1b8594939a8 |
13 | b6c52a074b |
14 | 5cc58a8a9a |
15 | 32adc77615 |
hex | 1c7af5f2d0 |
122322023120 has 80 divisors (see below), whose sum is σ = 310540981248. Its totient is φ = 44439467520.
The previous prime is 122322023099. The next prime is 122322023137. The reversal of 122322023120 is 21320223221.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 122322023092 and 122322023101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892622 + ... + 1020498.
Almost surely, 2122322023120 is an apocalyptic number.
122322023120 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 122322023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155270490624).
122322023120 is an abundant number, since it is smaller than the sum of its proper divisors (188218958128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122322023120 is a wasteful number, since it uses less digits than its factorization.
122322023120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 128988 (or 128982 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
Adding to 122322023120 its reverse (21320223221), we get a palindrome (143642246341).
The spelling of 122322023120 in words is "one hundred twenty-two billion, three hundred twenty-two million, twenty-three thousand, one hundred twenty".
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