| Base | Representation |
|---|---|
| bin | 10010100110101… |
| … | …001011101110000 |
| 3 | 210202022101210110 |
| 4 | 102212221131300 |
| 5 | 1114400334300 |
| 6 | 50545501320 |
| 7 | 10506662226 |
| oct | 2246513560 |
| 9 | 722271713 |
| 10 | 312121200 |
| 11 | 150203306 |
| 12 | 88641840 |
| 13 | 4c883001 |
| 14 | 2d64ab16 |
| 15 | 1c605550 |
| hex | 129a9770 |
312121200 has 120 divisors (see below), whose sum is σ = 1034420400. Its totient is φ = 80353280.
The previous prime is 312121129. The next prime is 312121217. The reversal of 312121200 is 2121213.
312121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
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, 30316 + ... + 39284.
It is an arithmetic number, because the mean of its divisors is an integer number (8620170).
Almost surely, 2312121200 is an apocalyptic number.
312121200 is a gapful number since it is divisible by the number (30) 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 312121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517210200).
312121200 is an abundant number, since it is smaller than the sum of its proper divisors (722299200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312121200 is a wasteful number, since it uses less digits than its factorization.
312121200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9019 (or 9008 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 312121200 is about 17666.9521989504. The cubic root of 312121200 is about 678.3301009142.
Adding to 312121200 its reverse (2121213), we get a palindrome (314242413).
It can be divided in two parts, 31212 and 1200, that multiplied together give a square (37454400 = 61202).
The spelling of 312121200 in words is "three hundred twelve million, one hundred twenty-one thousand, two hundred".
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