Search a number
-
+
21222120210012 = 22326726993325957
BaseRepresentation
bin1001101001101001010001…
…11011111011111001011100
32210010211000001020201020200
410310310220323323321130
510240200400233210022
6113045150223343500
74320150631301061
oct464645073737134
983124001221220
1021222120210012
116842283665327
122468ba5151b90
13bac3115bc0b7
14535228498c68
1526c0819e7bac
hex134d28efbe5c

21222120210012 has 72 divisors (see below), whose sum is σ = 54447656639376. Its totient is φ = 6968177846784.

The previous prime is 21222120209981. The next prime is 21222120210037. The reversal of 21222120210012 is 21001202122212.

It is a happy number.

21222120210012 is a `hidden beast` number, since 212 + 221 + 20 + 210 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 64944138 + ... + 65270094.

Almost surely, 221222120210012 is an apocalyptic number.

It is an amenable number.

21222120210012 is an abundant number, since it is smaller than the sum of its proper divisors (33225536429364).

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

21222120210012 is a wasteful number, since it uses less digits than its factorization.

21222120210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353027 (or 353022 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222120210012 its reverse (21001202122212), we get a palindrome (42223322332224).

The spelling of 21222120210012 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 26993 53986 80979 107972 161958 242937 323916 325957 485874 651914 971748 977871 1303828 1808531 1955742 2933613 3617062 3911484 5425593 5867226 7234124 10851186 11734452 16276779 21702372 21839119 32553558 43678238 65107116 65517357 87356476 131034714 196552071 262069428 393104142 786208284 8798557301 17597114602 26395671903 35194229204 52791343806 79187015709 105582687612 158374031418 316748062836 589503339167 1179006678334 1768510017501 2358013356668 3537020035002 5305530052503 7074040070004 10611060105006 21222120210012