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220120011120012 = 223174636733462847
BaseRepresentation
bin110010000011001010101111…
…000100100001110110001100
31001212101021020001012010111220
4302003022233010201312030
5212322421240321320022
62100053423114243340
764236101035124613
oct6203125704416614
91055337201163456
10220120011120012
11641564108400a3
1220830896426550
1395a92c6b51563
143c4dc1888087a
151a6ac5ed7585c
hexc832af121d8c

220120011120012 has 96 divisors (see below), whose sum is σ = 545810444992512. Its totient is φ = 68805697314816.

The previous prime is 220120011119989. The next prime is 220120011120019. The reversal of 220120011120012 is 210021110021022.

It is a junction number, because it is equal to n+sod(n) for n = 220120011119973 and 220120011120000.

It is not an unprimeable number, because it can be changed into a prime (220120011120019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61834773 + ... + 65297619.

It is an arithmetic number, because the mean of its divisors is an integer number (5685525468672).

Almost surely, 2220120011120012 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 220120011120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272905222496256).

220120011120012 is an abundant number, since it is smaller than the sum of its proper divisors (325690433872500).

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

220120011120012 is a wasteful number, since it uses less digits than its factorization.

220120011120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464007 (or 3464005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220120011120012 its reverse (210021110021022), we get a palindrome (430141121141034).

The spelling of 220120011120012 in words is "two hundred twenty trillion, one hundred twenty billion, eleven million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 463 673 926 1346 1389 1852 2019 2692 2778 4038 5556 7871 8076 11441 15742 22882 23613 31484 34323 45764 47226 68646 94452 137292 311599 623198 934797 1246396 1869594 3462847 3739188 5297183 6925694 10388541 10594366 13851388 15891549 20777082 21188732 31783098 41554164 58868399 63566196 117736798 176605197 235473596 353210394 706420788 1603298161 2330496031 3206596322 4660992062 4809894483 6413192644 6991488093 9321984124 9619788966 13982976186 19239577932 27256068737 27965952372 39618432527 54512137474 79236865054 81768206211 109024274948 118855297581 158473730108 163536412422 237710595162 327072824844 475421190324 1079019662353 2158039324706 3237058987059 4316078649412 6474117974118 12948235948236 18343334260001 36686668520002 55030002780003 73373337040004 110060005560006 220120011120012