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20122212211020 = 223251953111012977
BaseRepresentation
bin1001001001101000100010…
…10011111001100101001100
32122020122221120022002011200
410210310101103321211030
510114140242311223040
6110444003333545500
74144532114462043
oct444642123714514
978218846262150
1020122212211020
116458867232027
12230b9a01a5290
13b2c6938b67ba
144d7cc52dd55a
1524d65916b630
hex124d114f994c

20122212211020 has 144 divisors (see below), whose sum is σ = 65462132867040. Its totient is φ = 4987590985728.

The previous prime is 20122212210983. The next prime is 20122212211043. The reversal of 20122212211020 is 2011221222102.

It is a happy number.

20122212211020 is a `hidden beast` number, since 201 + 2 + 221 + 221 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20122212210984 and 20122212211002.

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, 55325229 + ... + 55687748.

It is an arithmetic number, because the mean of its divisors is an integer number (454598144910).

Almost surely, 220122212211020 is an apocalyptic number.

20122212211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122212211020 is an abundant number, since it is smaller than the sum of its proper divisors (45339920656020).

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

20122212211020 is a wasteful number, since it uses less digits than its factorization.

20122212211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111013064 (or 111013059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122212211020 its reverse (2011221222102), we get a palindrome (22133433433122).

The spelling of 20122212211020 in words is "twenty trillion, one hundred twenty-two billion, two hundred twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 570 636 684 795 855 954 1007 1060 1140 1590 1710 1908 2014 2385 3021 3180 3420 4028 4770 5035 6042 9063 9540 10070 12084 15105 18126 20140 30210 36252 45315 60420 90630 181260 111012977 222025954 333038931 444051908 555064885 666077862 999116793 1110129770 1332155724 1665194655 1998233586 2109246563 2220259540 3330389310 3996467172 4218493126 4995583965 5883687781 6327739689 6660778620 8436986252 9991167930 10546232815 11767375562 12655479378 17651063343 18983219067 19982335860 21092465630 23534751124 25310958756 29418438905 31638698445 35302126686 37966438134 42184931260 52953190029 58836877810 63277396890 70604253372 75932876268 88255316715 94916095335 105906380058 111790067839 117673755620 126554793780 176510633430 189832190670 211812760116 223580135678 264765950145 335370203517 353021266860 379664381340 447160271356 529531900290 558950339195 670740407034 1006110610551 1059063800580 1117900678390 1341480814068 1676851017585 2012221221102 2235801356780 3353702035170 4024442442204 5030553052755 6707404070340 10061106105510 20122212211020