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221200120002120 = 23357475602839919
BaseRepresentation
bin110010010010111000101010…
…100100111011011001001000
31002000012112011200121102011120
4302102320222210323121020
5212443120321210031440
62102241533212155240
764410116116133040
oct6222705244733110
91060175150542146
10221200120002120
116453249807a886
1220986094768b20
13965710a98548c
143c8a2002c6720
151a88dc9416dd0
hexc92e2a93b648

221200120002120 has 128 divisors (see below), whose sum is σ = 774536590540800. Its totient is φ = 49484282155776.

The previous prime is 221200120002091. The next prime is 221200120002139. The reversal of 221200120002120 is 21200021002122.

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 221200120002120.

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, 2801380480 + ... + 2801459439.

It is an arithmetic number, because the mean of its divisors is an integer number (6051067113600).

Almost surely, 2221200120002120 is an apocalyptic number.

221200120002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200120002120 is an abundant number, since it is smaller than the sum of its proper divisors (553336470538680).

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

221200120002120 is a wasteful number, since it uses less digits than its factorization.

221200120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602839987 (or 5602839983 counting only the distinct ones).

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

Adding to 221200120002120 its reverse (21200021002122), we get a palindrome (242400141004242).

The spelling of 221200120002120 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 5602839919 11205679838 16808519757 22411359676 28014199595 33617039514 39219879433 44822719352 56028399190 67234079028 78439758866 84042598785 112056798380 117659638299 134468158056 156879517732 168085197570 196099397165 224113596760 235319276598 263333476193 313759035464 336170395140 392198794330 470638553196 526666952386 588298191495 672340790280 784397588660 790000428579 941277106392 1053333904772 1176596382990 1316667380965 1568795177320 1580000857158 1843334333351 2106667809544 2353192765980 2633334761930 3160001714316 3686668666702 3950002142895 4706385531960 5266669523860 5530003000053 6320003428632 7373337333404 7900004285790 9216671666755 10533339047720 11060006000106 14746674666808 15800008571580 18433343333510 22120012000212 27650015000265 31600017143160 36866686667020 44240024000424 55300030000530 73733373334040 110600060001060 221200120002120