Base | Representation |
---|---|
bin | 10110110000110000… |
… | …11010000000000000 |
3 | 1011112122111001022211 |
4 | 23120120122000000 |
5 | 200011333224300 |
6 | 5340333311504 |
7 | 611554036621 |
oct | 133030320000 |
9 | 34478431284 |
10 | 12220211200 |
11 | 5200a995aa |
12 | 2450635594 |
13 | 11c9977402 |
14 | 83cd81a48 |
15 | 4b7c6d4ba |
hex | 2d861a000 |
12220211200 has 84 divisors (see below), whose sum is σ = 30304781910. Its totient is φ = 4888002560.
The previous prime is 12220211173. The next prime is 12220211231. The reversal of 12220211200 is 211202221.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 10630434816 + 1589776384 = 103104^2 + 39872^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174966 + ... + 234634.
Almost surely, 212220211200 is an apocalyptic number.
12220211200 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 12220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152390955).
12220211200 is an abundant number, since it is smaller than the sum of its proper divisors (18084570710).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12220211200 is an frugal number, since it uses more digits than its factorization.
12220211200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59705 (or 59676 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
Adding to 12220211200 its reverse (211202221), we get a palindrome (12431413421).
It can be divided in two parts, 1222021 and 1200, that added together give a palindrome (1223221).
The spelling of 12220211200 in words is "twelve billion, two hundred twenty million, two hundred eleven thousand, two hundred".
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