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12002212121202 = 23231731372150719
BaseRepresentation
bin1010111010100111101110…
…0101110000101001110010
31120111101210210120111121100
42232221323211300221302
53033121012300334302
641305423511305230
72346063001514322
oct256517345605162
946441723514540
1012002212121202
113908122933246
12141a13867b216
13690a5aaa6444
142d6ca56d3282
1515c312233d1c
hexaea7b970a72

12002212121202 has 96 divisors (see below), whose sum is σ = 27410014494720. Its totient is φ = 3790769518080.

The previous prime is 12002212121173. The next prime is 12002212121243. The reversal of 12002212121202 is 20212121220021.

It is a happy number.

12002212121202 is a `hidden beast` number, since 1 + 200 + 221 + 21 + 21 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4505199 + ... + 6655917.

It is an arithmetic number, because the mean of its divisors is an integer number (285520984320).

Almost surely, 212002212121202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002212121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705007247360).

12002212121202 is an abundant number, since it is smaller than the sum of its proper divisors (15407802373518).

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

12002212121202 is a wasteful number, since it uses less digits than its factorization.

12002212121202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150968 (or 2150965 counting only the distinct ones).

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

Adding to 12002212121202 its reverse (20212121220021), we get a palindrome (32214333341223).

The spelling of 12002212121202 in words is "twelve trillion, two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 31 62 73 93 137 146 186 219 274 279 411 438 558 657 822 1233 1314 2263 2466 4247 4526 6789 8494 10001 12741 13578 20002 20367 25482 30003 38223 40734 60006 76446 90009 180018 310031 620062 930093 1860186 2150719 2790279 4301438 5580558 6452157 12904314 19356471 38712942 66672289 133344578 157002487 200016867 294648503 314004974 400033734 471007461 589297006 600050601 883945509 942014922 1200101202 1413022383 1767891018 2651836527 2826044766 4867077097 5303673054 9134103593 9734154194 14601231291 18268207186 21509340719 27402310779 29202462582 43018681438 43803693873 54804621558 64528022157 82206932337 87607387746 129056044314 164413864674 193584066471 387168132942 666789562289 1333579124578 2000368686867 4000737373734 6001106060601 12002212121202