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220120001022120 = 23356134786660053
BaseRepresentation
bin110010000011001010101110…
…011110000000100010101000
31001212101021012100012002210220
4302003022232132000202220
5212322421230230201440
62100053422114010040
764236100553236653
oct6203125636004250
91055337170162726
10220120001022120
1164156406073431
1220830892b76920
1395a92c4a27284
143c4dc173b289a
151a6ac5e02d8d0
hexc832ae7808a8

220120001022120 has 128 divisors (see below), whose sum is σ = 673119837037440. Its totient is φ = 57570005744640.

The previous prime is 220120001022083. The next prime is 220120001022133. The reversal of 220120001022120 is 21220100021022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220120001022120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40789987 + ... + 45870066.

It is an arithmetic number, because the mean of its divisors is an integer number (5258748726855).

Almost surely, 2220120001022120 is an apocalyptic number.

220120001022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120001022120 is an abundant number, since it is smaller than the sum of its proper divisors (452999836015320).

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

220120001022120 is a wasteful number, since it uses less digits than its factorization.

220120001022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86660475 (or 86660471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220120001022120 its reverse (21220100021022), we get a palindrome (241340101043142).

The spelling of 220120001022120 in words is "two hundred twenty trillion, one hundred twenty billion, one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 347 366 488 610 694 732 915 1041 1220 1388 1464 1735 1830 2082 2440 2776 3470 3660 4164 5205 6940 7320 8328 10410 13880 20820 21167 41640 42334 63501 84668 105835 127002 169336 211670 254004 317505 423340 508008 635010 846680 1270020 2540040 86660053 173320106 259980159 346640212 433300265 519960318 693280424 866600530 1039920636 1299900795 1733201060 2079841272 2599801590 3466402120 5199603180 5286263233 10399206360 10572526466 15858789699 21145052932 26431316165 30071038391 31717579398 42290105864 52862632330 60142076782 63435158796 79293948495 90213115173 105725264660 120284153564 126870317592 150355191955 158587896990 180426230346 211450529320 240568307128 300710383910 317175793980 360852460692 451065575865 601420767820 634351587960 721704921384 902131151730 1202841535640 1804262303460 1834333341851 3608524606920 3668666683702 5503000025553 7337333367404 9171666709255 11006000051106 14674666734808 18343333418510 22012000102212 27515000127765 36686666837020 44024000204424 55030000255530 73373333674040 110060000511060 220120001022120