| Base | Representation |
|---|---|
| bin | 101110100010… |
| … | …111101001000 |
| 3 | 211221220201112 |
| 4 | 232202331020 |
| 5 | 11110424200 |
| 6 | 1113305452 |
| 7 | 205466522 |
| oct | 56427510 |
| 9 | 24856645 |
| 10 | 12201800 |
| 11 | 6984436 |
| 12 | 4105288 |
| 13 | 26b2b00 |
| 14 | 1898a12 |
| 15 | 1110535 |
| hex | ba2f48 |
12201800 has 108 divisors (see below), whose sum is σ = 32421195. Its totient is φ = 4268160.
The previous prime is 12201797. The next prime is 12201803. The reversal of 12201800 is 810221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
12201800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12201797) and next prime (12201803).
It can be written as a sum of positive squares in 5 ways, for example, as 763876 + 11437924 = 874^2 + 3382^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2470.
It is not an unprimeable number, because it can be changed into a prime (12201803) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 642191 + ... + 642209.
Almost surely, 212201800 is an apocalyptic number.
12201800 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 12201800
12201800 is an abundant number, since it is smaller than the sum of its proper divisors (20219395).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12201800 is a wasteful number, since it uses less digits than its factorization.
12201800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
The square root of 12201800 is about 3493.1074990615. The cubic root of 12201800 is about 230.2190729323.
Multiplying 12201800 by its product of nonzero digits (32), we get a square (390457600 = 197602).
The spelling of 12201800 in words is "twelve million, two hundred one thousand, eight hundred".
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