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220022121121012 = 22719229775796763
BaseRepresentation
bin110010000001101111100100…
…010111110100010011110100
31001212000220112220212221111101
4302001233210113310103310
5212314320301001333022
62055540433404015444
764226034161635540
oct6201574427642364
91055026486787441
10220022121121012
1164118948453a81
1220815917231584
13959ccc6521b22
143c491adb50a20
151a68430ecb627
hexc81be45f44f4

220022121121012 has 144 divisors (see below), whose sum is σ = 480504927288960. Its totient is φ = 86239855505664.

The previous prime is 220022121121003. The next prime is 220022121121073. The reversal of 220022121121012 is 210121121220022.

220022121121012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 2273776543 + ... + 2273873305.

It is an arithmetic number, because the mean of its divisors is an integer number (3336839772840).

Almost surely, 2220022121121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220022121121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240252463644480).

220022121121012 is an abundant number, since it is smaller than the sum of its proper divisors (260482806167948).

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

220022121121012 is a wasteful number, since it uses less digits than its factorization.

220022121121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104598 (or 104577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220022121121012 its reverse (210121121220022), we get a palindrome (430143242341034).

The spelling of 220022121121012 in words is "two hundred twenty trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 361 406 532 551 722 812 1102 1444 2204 2527 3857 5054 7714 7757 10108 10469 15428 15514 20938 31028 41876 54299 73283 96763 108598 146566 147383 193526 217196 224953 293132 294766 387052 449906 589532 677341 899812 1031681 1354682 1574671 1838497 2063362 2709364 2800277 2806127 3149342 3676994 4126724 4274107 5600554 5612254 6298684 7353988 8548214 11201108 11224508 12869479 17096428 19601939 19642889 25738958 29918749 34931443 39203878 39285778 51477916 53316413 59837498 69862886 78407756 78571556 81208033 106632826 119674996 139725772 162416066 213265652 244520101 324832132 373214891 489040202 568456231 746429782 750590591 978080404 1013011847 1136912462 1492859564 1501181182 2026023694 2273824924 3002362364 4052047388 5254134137 7091082929 10508268274 14182165858 14261221229 21016536548 21767127139 28364331716 28522442458 43534254278 57044884916 87068508556 99828548603 152369889973 199657097206 270963203351 304739779946 399314194412 413575415641 541926406702 609479559892 827150831282 1083852813404 1654301662564 1896742423457 2895027909487 3793484846914 5790055818974 7586969693828 7857932897179 11580111637948 15715865794358 31431731588716 55005530280253 110011060560506 220022121121012