Search a number
-
+
12002022221202 = 2341319737377557
BaseRepresentation
bin1010111010100111000001…
…0001010110010110010010
31120111101022120020120210000
42232221300101112112102
53033120120142034302
641305353005150430
72346055204424106
oct256516021262622
946441276216700
1012002022221202
1139080357195a2
12141a0a4b5b416
13690a2a647390
142d6c883bd906
1515c30072231c
hexaea70456592

12002022221202 has 160 divisors (see below), whose sum is σ = 29187577731312. Its totient is φ = 3664286470656.

The previous prime is 12002022221191. The next prime is 12002022221237. The reversal of 12002022221202 is 20212222020021.

12002022221202 is a `hidden beast` number, since 1 + 200 + 20 + 22 + 221 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5611597192161 + 6390425029041 = 2368881^2 + 2527929^2 .

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 79 ways as a sum of consecutive naturals, for example, 154712208 + ... + 154789764.

Almost surely, 212002022221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002022221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593788865656).

12002022221202 is an abundant number, since it is smaller than the sum of its proper divisors (17185555510110).

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

12002022221202 is a wasteful number, since it uses less digits than its factorization.

12002022221202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78154 (or 78145 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12002022221202 its reverse (20212222020021), we get a palindrome (32214244241223).

The spelling of 12002022221202 in words is "twelve trillion, two billion, twenty-two million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 197 234 351 373 394 591 702 746 1053 1119 1182 1773 2106 2238 2561 3357 3546 4849 5122 5319 6714 7683 9698 10071 10638 14547 15366 15957 20142 23049 29094 30213 31914 43641 46098 60426 69147 73481 77557 87282 130923 138294 146962 155114 207441 220443 232671 261846 392769 414882 440886 465342 661329 698013 785538 955253 1008241 1322658 1396026 1910506 1983987 2016482 2094039 2865759 3024723 3967974 4188078 5731518 5951961 6049446 6282117 8597277 9074169 11903922 12564234 15278729 17194554 18148338 25791831 27222507 28928761 30557458 45836187 51583662 54445014 57857522 77375493 81667521 86786283 91672374 137508561 154750986 163335042 173572566 198623477 260358849 275017122 376073893 397246954 412525683 520717698 595870431 752147786 781076547 825051366 1128221679 1191740862 1237577049 1562153094 1787611293 2256443358 2343229641 2475154098 3384665037 3575222586 4686459282 5362833879 5698965917 6769330074 10153995111 10725667758 11397931834 16088501637 17096897751 20307990222 30461985333 32177003274 34193795502 51290693253 60923970666 74086556921 102581386506 148173113842 153872079759 222259670763 307744159518 444519341526 461616239277 666779012289 923232478554 1333558024578 2000337036867 4000674073734 6001011110601 12002022221202