Base | Representation |
---|---|
bin | 111000110011111100… |
… | …1001000001000000000 |
3 | 102122220112111111020200 |
4 | 1301213321020020000 |
5 | 3444330020104044 |
6 | 132014052405200 |
7 | 11546216564421 |
oct | 1614771101000 |
9 | 378815444220 |
10 | 122002113024 |
11 | 47817015290 |
12 | 1b78a316800 |
13 | b673c2142c |
14 | 5c951d1648 |
15 | 3290b34369 |
hex | 1c67e48200 |
122002113024 has 240 divisors, whose sum is σ = 384753900960. Its totient is φ = 36908974080.
The previous prime is 122002113019. The next prime is 122002113061. The reversal of 122002113024 is 420311200221.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 122002112988 and 122002113006.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37456804 + ... + 37460060.
It is an arithmetic number, because the mean of its divisors is an integer number (1603141254).
Almost surely, 2122002113024 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 122002113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192376950480).
122002113024 is an abundant number, since it is smaller than the sum of its proper divisors (262751787936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122002113024 is a wasteful number, since it uses less digits than its factorization.
122002113024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4031 (or 4012 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 122002113024 its reverse (420311200221), we get a palindrome (542313313245).
The spelling of 122002113024 in words is "one hundred twenty-two billion, two million, one hundred thirteen thousand, twenty-four".
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