Base | Representation |
---|---|
bin | 10110100100110100… |
… | …01000101100010100 |
3 | 1011021122220212012001 |
4 | 23102122020230110 |
5 | 144310210020200 |
6 | 5322353405044 |
7 | 606226211521 |
oct | 132232105424 |
9 | 34248825161 |
10 | 12120001300 |
11 | 515a474400 |
12 | 2422b69784 |
13 | 11b1c8c204 |
14 | 82d938148 |
15 | 4ae07676a |
hex | 2d2688b14 |
12120001300 has 108 divisors (see below), whose sum is σ = 28966631260. Its totient is φ = 4398451200.
The previous prime is 12120001297. The next prime is 12120001429. The reversal of 12120001300 is 310002121.
It can be written as a sum of positive squares in 6 ways, for example, as 2152774404 + 9967226896 = 46398^2 + 99836^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11337166 + ... + 11338234.
Almost surely, 212120001300 is an apocalyptic number.
12120001300 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 12120001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483315630).
12120001300 is an abundant number, since it is smaller than the sum of its proper divisors (16846629960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12120001300 is a wasteful number, since it uses less digits than its factorization.
12120001300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2042 (or 2024 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
Adding to 12120001300 its reverse (310002121), we get a palindrome (12430003421).
The spelling of 12120001300 in words is "twelve billion, one hundred twenty million, one thousand, three hundred".
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