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12002122112022 = 2347163197329603
BaseRepresentation
bin1010111010100111011000…
…1110011001110000010110
31120111101120112012120020000
42232221312032121300112
53033120321230041042
641305410534152130
72346060526453020
oct256516616316026
946441515176200
1012002122112022
113908087045a99
12141a1124b2646
13690a45250283
142d6c97783010
1515c3093a474c
hexaea76399c16

12002122112022 has 160 divisors (see below), whose sum is σ = 31081224759552. Its totient is φ = 3390829356096.

The previous prime is 12002122112009. The next prime is 12002122112081. The reversal of 12002122112022 is 22021122120021.

It is a happy number.

12002122112022 is a `hidden beast` number, since 1 + 200 + 212 + 211 + 20 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12002122111986 and 12002122112004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36249073 + ... + 36578675.

Almost surely, 212002122112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002122112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540612379776).

12002122112022 is an abundant number, since it is smaller than the sum of its proper divisors (19079102647530).

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

12002122112022 is a wasteful number, since it uses less digits than its factorization.

12002122112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329984 (or 329975 counting only the distinct ones).

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

Adding to 12002122112022 its reverse (22021122120021), we get a palindrome (34023244232043).

The spelling of 12002122112022 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 163 189 197 326 378 394 489 567 591 978 1134 1141 1182 1379 1467 1773 2282 2758 2934 3423 3546 4137 4401 5319 6846 8274 8802 10269 10638 12411 13203 15957 20538 24822 26406 30807 31914 32111 37233 61614 64222 74466 92421 96333 111699 184842 192666 223398 224777 288999 329603 449554 577998 659206 674331 866997 988809 1348662 1733994 1977618 2022993 2307221 2600991 2966427 4045986 4614442 5201982 5932854 6068979 6921663 8899281 12137958 13843326 17798562 18206937 20764989 26697843 36413874 41529978 53395686 53725289 62294967 64931791 107450578 124589934 129863582 161175867 186884901 194795373 322351734 373769802 376077023 389590746 454522537 483527601 584386119 752154046 909045074 967055202 1128231069 1168772238 1363567611 1450582803 1753158357 2256462138 2727135222 2901165606 3384693207 3506316714 4090702833 4351748409 5259475071 6769386414 8181405666 8703496818 10154079621 10518950142 10583881933 12272108499 20308159242 21167763866 24544216998 30462238863 31751645799 36816325497 60924477726 63503291598 73632650994 74087173531 95254937397 148174347062 190509874794 222261520593 285764812191 444523041186 571529624382 666784561779 857294436573 1333569123558 1714588873146 2000353685337 4000707370674 6001061056011 12002122112022