Base | Representation |
---|---|
bin | 10110101110011001… |
… | …00100101100000000 |
3 | 1011111021002002020100 |
4 | 23113030210230000 |
5 | 144441241111112 |
6 | 5334343242400 |
7 | 611223053100 |
oct | 132714445400 |
9 | 34437062210 |
10 | 12200332032 |
11 | 51a0851039 |
12 | 2445a49400 |
13 | 11c5806ca5 |
14 | 83a489200 |
15 | 4b61432dc |
hex | 2d7324b00 |
12200332032 has 324 divisors, whose sum is σ = 41712194160. Its totient is φ = 3418361856.
The previous prime is 12200332019. The next prime is 12200332061. The reversal of 12200332032 is 23023300221.
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 = 12200331996 and 12200332014.
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, 5982469 + ... + 5984507.
It is an arithmetic number, because the mean of its divisors is an integer number (128741340).
Almost surely, 212200332032 is an apocalyptic number.
12200332032 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 12200332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856097080).
12200332032 is an abundant number, since it is smaller than the sum of its proper divisors (29511862128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12200332032 is a wasteful number, since it uses less digits than its factorization.
12200332032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2128 (or 2104 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 12200332032 its reverse (23023300221), we get a palindrome (35223632253).
The spelling of 12200332032 in words is "twelve billion, two hundred million, three hundred thirty-two thousand, thirty-two".
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