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312121212 = 223138212437
BaseRepresentation
bin10010100110101…
…001011101111100
3210202022101210220
4102212221131330
51114400334322
650545501340
710506662244
oct2246513574
9722271726
10312121212
11150203317
1288641850
134c883010
142d64ab24
151c60555c
hex129a977c

312121212 has 48 divisors (see below), whose sum is σ = 785582112. Its totient is φ = 95880960.

The previous prime is 312121129. The next prime is 312121217. The reversal of 312121212 is 212121213.

It is a nude number because it is divisible by every one of its digits.

312121212 is a modest number, since divided by 121212 gives 312 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 312121191 and 312121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126858 + ... + 129294.

It is an arithmetic number, because the mean of its divisors is an integer number (16366294).

Almost surely, 2312121212 is an apocalyptic number.

It is an amenable number.

312121212 is an abundant number, since it is smaller than the sum of its proper divisors (473460900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312121212 is a wasteful number, since it uses less digits than its factorization.

312121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3276 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 312121212 is about 17666.9525385676. The cubic root of 312121212 is about 678.3301096074.

Adding to 312121212 its reverse (212121213), we get a palindrome (524242425).

Subtracting from 312121212 its reverse (212121213), we obtain a palindrome (99999999).

The spelling of 312121212 in words is "three hundred twelve million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 821 1642 2437 2463 3284 4874 4926 7311 9748 9852 10673 14622 21346 29244 31681 32019 42692 63362 64038 95043 126724 128076 190086 380172 2000777 4001554 6002331 8003108 12004662 24009324 26010101 52020202 78030303 104040404 156060606 312121212