Search a number
-
+
2121121212 = 2237217443479
BaseRepresentation
bin111111001101101…
…1011110110111100
312110211021010021220
41332123123312330
513321001334322
6550250553340
7103364142600
oct17633336674
95424233256
102121121212
11999354841
124b2438850
1327a5a4712
141619c7500
15c633a55c
hex7e6dbdbc

2121121212 has 144 divisors (see below), whose sum is σ = 6122511360. Its totient is φ = 567909888.

The previous prime is 2121121207. The next prime is 2121121217. The reversal of 2121121212 is 2121211212.

It is an interprime number because it is at equal distance from previous prime (2121121207) and next prime (2121121217).

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

It is a junction number, because it is equal to n+sod(n) for n = 2121121191 and 2121121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121121217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4427989 + ... + 4428467.

It is an arithmetic number, because the mean of its divisors is an integer number (42517440).

Almost surely, 22121121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061255680).

2121121212 is an abundant number, since it is smaller than the sum of its proper divisors (4001390148).

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

2121121212 is a wasteful number, since it uses less digits than its factorization.

2121121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 951 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 2121121212 is about 46055.6317077510. The cubic root of 2121121212 is about 1284.8580870497.

Adding to 2121121212 its reverse (2121211212), we get a palindrome (4242332424).

Subtracting 2121121212 from its reverse (2121211212), we obtain a square (90000 = 3002).

The spelling of 2121121212 in words is "two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 443 476 479 588 714 833 886 958 1329 1428 1437 1666 1772 1916 2499 2658 2874 3101 3332 3353 4998 5316 5748 6202 6706 7531 8143 9303 9996 10059 12404 13412 15062 16286 18606 20118 21707 22593 23471 24429 30124 32572 37212 40236 43414 45186 46942 48858 52717 57001 65121 70413 86828 90372 93884 97716 105434 114002 130242 140826 158151 171003 210868 212197 228004 260484 281652 316302 342006 369019 399007 424394 632604 636591 684012 738038 798014 848788 1107057 1197021 1273182 1476076 1485379 1596028 2214114 2394042 2546364 2970758 3607349 4428228 4456137 4788084 5941516 7214698 8912274 10397653 10822047 14429396 17824548 20795306 21644094 25251443 31192959 41590612 43288188 50502886 62385918 75754329 101005772 124771836 151508658 176760101 303017316 353520202 530280303 707040404 1060560606 2121121212