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12202002211212 = 223211432749260671
BaseRepresentation
bin1011000110010000000000…
…0000011110000110001100
31121012111111111212122201200
42301210000000132012030
53044404200031224322
641541304502305500
72366364663331002
oct261440000360614
947174444778650
1012202002211212
113984927162a10
1214509b5a28290
136a684a77b708
14302819972a72
151626070428ac
hexb190001e18c

12202002211212 has 144 divisors (see below), whose sum is σ = 34443112704000. Its totient is φ = 3610258646400.

The previous prime is 12202002211207. The next prime is 12202002211219. The reversal of 12202002211212 is 21211220020221.

It is a happy number.

12202002211212 is a `hidden beast` number, since 1 + 220 + 20 + 0 + 2 + 211 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12202002211219) 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, 46679637 + ... + 46940307.

Almost surely, 212202002211212 is an apocalyptic number.

12202002211212 is a gapful number since it is divisible by the number (12) 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 12202002211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221556352000).

12202002211212 is an abundant number, since it is smaller than the sum of its proper divisors (22241110492788).

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

12202002211212 is a wasteful number, since it uses less digits than its factorization.

12202002211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263484 (or 263479 counting only the distinct ones).

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

Adding to 12202002211212 its reverse (21211220020221), we get a palindrome (33413222231433).

The spelling of 12202002211212 in words is "twelve trillion, two hundred two billion, two million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2749 2838 4257 5498 5676 8247 8514 10996 16494 17028 24741 30239 32988 49482 60478 90717 98964 118207 120956 181434 236414 260671 272151 354621 362868 472828 521342 544302 709242 782013 1042684 1063863 1088604 1300277 1418484 1564026 2127726 2346039 2600554 2867381 3128052 3900831 4255452 4692078 5201108 5734762 7801662 8602143 9384156 11208853 11469524 11702493 15603324 17204286 22417706 23404986 25806429 33626559 34408572 44835412 46809972 51612858 67253118 100879677 103225716 123297383 134506236 201759354 246594766 369892149 403518708 493189532 716584579 739784298 1109676447 1433169158 1479568596 2149753737 2219352894 2866338316 4299507474 4438705788 6449261211 7882430369 8599014948 12898522422 15764860738 23647291107 25797044844 30813136897 31529721476 47294582214 61626273794 70941873321 92439410691 94589164428 123252547588 141883746642 184878821382 277318232073 283767493284 338944505867 369757642764 554636464146 677889011734 1016833517601 1109272928292 1355778023468 2033667035202 3050500552803 4067334070404 6101001105606 12202002211212