Search a number
-
+
222112122120 = 23325788139731
BaseRepresentation
bin1100111011011011101…
…0100000010100001000
3210020022101010212121100
43032312322200110020
512114341200401440
6250011545341400
722022100613230
oct3166672402410
9706271125540
10222112122120
1186219558899
1237068a97860
1317c3946a3c5
14aa70acacc0
155b9e84e230
hex33b6ea0508

222112122120 has 96 divisors (see below), whose sum is σ = 824987891520. Its totient is φ = 50768484480.

The previous prime is 222112122109. The next prime is 222112122131. The reversal of 222112122120 is 21221211222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222112122109) and next prime (222112122131).

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 = 222112122093 and 222112122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44067346 + ... + 44072385.

It is an arithmetic number, because the mean of its divisors is an integer number (8593623870).

Almost surely, 2222112122120 is an apocalyptic number.

222112122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112122120 is an abundant number, since it is smaller than the sum of its proper divisors (602875769400).

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

222112122120 is a wasteful number, since it uses less digits than its factorization.

222112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88139755 (or 88139748 counting only the distinct ones).

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

Adding to 222112122120 its reverse (21221211222), we get a palindrome (243333333342).

The spelling of 222112122120 in words is "two hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 88139731 176279462 264419193 352558924 440698655 528838386 616978117 705117848 793257579 881397310 1057676772 1233956234 1322095965 1586515158 1762794620 1850934351 2115353544 2467912468 2644191930 3084890585 3173030316 3525589240 3701868702 3966287895 4935824936 5288383860 5552803053 6169781170 6346060632 7403737404 7932575790 9254671755 10576767720 11105606106 12339562340 14807474808 15865151580 18509343510 22211212212 24679124680 27764015265 31730303160 37018687020 44422424424 55528030530 74037374040 111056061060 222112122120