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2220112120212 = 22327371032311721
BaseRepresentation
bin100000010011101000111…
…111101000100110010100
321212020111102122002201200
4200103220333220212110
5242333242200321322
64415523323352500
7316253306441040
oct40235077504624
97766442562650
102220112120212
117865a9460638
122ba333082730
1313148155659c
147964dac1020
153cb3be688ac
hex204e8fe8994

2220112120212 has 144 divisors (see below), whose sum is σ = 6650953650432. Its totient is φ = 611181780480.

The previous prime is 2220112120211. The next prime is 2220112120307. The reversal of 2220112120212 is 2120212110222.

It is a happy number.

2220112120212 is a `hidden beast` number, since 2 + 220 + 112 + 120 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220112120211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 195489 + ... + 2116232.

It is an arithmetic number, because the mean of its divisors is an integer number (46187178128).

Almost surely, 22220112120212 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 2220112120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325476825216).

2220112120212 is an abundant number, since it is smaller than the sum of its proper divisors (4430841530220).

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

2220112120212 is a wasteful number, since it uses less digits than its factorization.

2220112120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311878 (or 2311873 counting only the distinct ones).

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

Adding to 2220112120212 its reverse (2120212110222), we get a palindrome (4340324230434).

The spelling of 2220112120212 in words is "two trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 103 111 126 148 206 222 252 259 309 333 412 444 518 618 666 721 777 927 1036 1236 1332 1442 1554 1854 2163 2331 2884 3108 3708 3811 4326 4662 6489 7622 8652 9324 11433 12978 15244 22866 25956 26677 34299 45732 53354 68598 80031 106708 137196 160062 240093 320124 480186 960372 2311721 4623442 6935163 9246884 13870326 16182047 20805489 27740652 32364094 41610978 48546141 64728188 83221956 85533677 97092282 145638423 171067354 194184564 238107263 256601031 291276846 342134708 476214526 513202062 582553692 598735739 714321789 769803093 952429052 1026404124 1197471478 1428643578 1539606186 1666750841 1796207217 2142965367 2394942956 2857287156 3079212372 3333501682 3592414434 4285930734 5000252523 5388621651 6667003364 7184828868 8571861468 8809968731 10000505046 10777243302 15000757569 17619937462 20001010092 21554486604 26429906193 30001515138 35239874924 52859812386 60003030276 61669781117 79289718579 105719624772 123339562234 158579437158 185009343351 246679124468 317158874316 370018686702 555028030053 740037373404 1110056060106 2220112120212