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12002121122202 = 234127895165173
BaseRepresentation
bin1010111010100111011000…
…1010101000000110011010
31120111101120110100021110000
42232221312022220012122
53033120321001402302
641305410501033430
72346060515161161
oct256516612500632
946441513307400
1012002121122202
11390808652a362
12141a1120b5876
13690a44c94893
142d6c975a63d8
1515c30925b31c
hexaea762a819a

12002121122202 has 80 divisors (see below), whose sum is σ = 27108846876672. Its totient is φ = 3968701077600.

The previous prime is 12002121122183. The next prime is 12002121122209. The reversal of 12002121122202 is 20222112120021.

It is a happy number.

12002121122202 is a `hidden beast` number, since 120 + 0 + 212 + 112 + 220 + 2 = 666.

It is a super-2 number, since 2×120021211222022 (a number of 27 digits) contains 22 as substring.

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 (12002121122209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184125288 + ... + 184190460.

Almost surely, 212002121122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002121122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13554423438336).

12002121122202 is an abundant number, since it is smaller than the sum of its proper divisors (15106725754470).

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

12002121122202 is a wasteful number, since it uses less digits than its factorization.

12002121122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74265 (or 74256 counting only the distinct ones).

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

Adding to 12002121122202 its reverse (20222112120021), we get a palindrome (32224233242223).

The spelling of 12002121122202 in words is "twelve trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 2286 3429 6858 8951 10287 17902 20574 26853 53706 65173 80559 130346 161118 195519 241677 391038 483354 586557 725031 1136777 1173114 1450062 1759671 2273554 3410331 3519342 5279013 6820662 8276971 10230993 10558026 16553942 20461986 24830913 30692979 49661826 61385958 74492739 92078937 148985478 184157874 223478217 446956434 583363523 670434651 1166727046 1340869302 1750090569 3500181138 5250271707 10500543414 15750815121 31501630242 47252445363 74087167421 94504890726 148174334842 222261502263 444523004526 666784506789 1333569013578 2000353520367 4000707040734 6001060561101 12002121122202