Search a number
-
+
12002212000212 = 2237300089476137
BaseRepresentation
bin1010111010100111101110…
…0101010011000111010100
31120111101210210100100122020
42232221323211103013110
53033121012233001322
641305423504533140
72346063000501510
oct256517345230724
946441723310566
1012002212000212
113908122860355
12141a1386211b0
13690a5aa63355
142d6ca56a1140
1515c31220d05c
hexaea7b9531d4

12002212000212 has 48 divisors (see below), whose sum is σ = 32006072542080. Its totient is φ = 3429184799232.

The previous prime is 12002212000139. The next prime is 12002212000249. The reversal of 12002212000212 is 21200021220021.

It is a junction number, because it is equal to n+sod(n) for n = 12002212000191 and 12002212000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24969408 + ... + 25445544.

It is an arithmetic number, because the mean of its divisors is an integer number (666793177960).

Almost surely, 212002212000212 is an apocalyptic number.

12002212000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002212000212 is an abundant number, since it is smaller than the sum of its proper divisors (20003860541868).

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

12002212000212 is a wasteful number, since it uses less digits than its factorization.

12002212000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776240 (or 776238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12002212000212 its reverse (21200021220021), we get a palindrome (33202233220233).

The spelling of 12002212000212 in words is "twelve trillion, two billion, two hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 300089 476137 600178 900267 952274 1200356 1428411 1800534 1904548 2100623 2856822 3332959 3601068 4201246 5713644 6301869 6665918 8402492 9998877 12603738 13331836 19997754 25207476 39995508 142883476193 285766952386 428650428579 571533904772 857300857158 1000184333351 1714601714316 2000368666702 3000553000053 4000737333404 6001106000106 12002212000212