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12000212202220 = 225111273251132113
BaseRepresentation
bin1010111010100000010001…
…1000101011001011101100
31120111012122102101002111221
42232220010120223023230
53033102413310432340
641304453230153124
72345662305500614
oct256500430531354
946435572332457
1012000212202220
113907296a41540
12141987a9527a4
136907cc659c28
142d6b55c59a44
1515c24688a44a
hexaea0462b2ec

12000212202220 has 96 divisors (see below), whose sum is σ = 27716595572736. Its totient is φ = 4327989120000.

The previous prime is 12000212202103. The next prime is 12000212202239. The reversal of 12000212202220 is 2220221200021.

It is a junction number, because it is equal to n+sod(n) for n = 12000212202194 and 12000212202203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90766884 + ... + 90898996.

It is an arithmetic number, because the mean of its divisors is an integer number (288714537216).

Almost surely, 212000212202220 is an apocalyptic number.

12000212202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000212202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858297786368).

12000212202220 is an abundant number, since it is smaller than the sum of its proper divisors (15716383370516).

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

12000212202220 is a wasteful number, since it uses less digits than its factorization.

12000212202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135511 (or 135509 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12000212202220 its reverse (2220221200021), we get a palindrome (14220433402241).

The spelling of 12000212202220 in words is "twelve trillion, two hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 3251 5588 6502 6985 13004 13970 16255 27940 32510 35761 65020 71522 132113 143044 178805 264226 357610 412877 528452 660565 715220 825754 1321130 1453243 1651508 2064385 2642260 2906486 4128770 4541647 5812972 7266215 8257540 9083294 14532430 16778351 18166588 22708235 29064860 33556702 45416470 67113404 83891755 90832940 167783510 184561861 335567020 369123722 429499363 738247444 858998726 922809305 1717997452 1845618610 2147496815 3691237220 4294993630 4724492993 8589987260 9448985986 18897971972 23622464965 47244929930 54546419101 94489859860 109092838202 218185676404 272732095505 545464191010 600010610111 1090928382020 1200021220222 2400042440444 3000053050555 6000106101110 12000212202220