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2022112121220 = 22325292671145031
BaseRepresentation
bin11101011011001111010…
…001100101000110000100
321011022102110200222211200
4131123033101211012010
5231112241200334340
64144540120302500
7266043552301542
oct35331721450604
97138373628750
102022112121220
1170a633637834
12287a95311a30
131188b86b2079
146dc29498d92
15378ee3a7330
hex1d6cf465184

2022112121220 has 144 divisors (see below), whose sum is σ = 6347667755520. Its totient is φ = 520437254400.

The previous prime is 2022112121209. The next prime is 2022112121303. The reversal of 2022112121220 is 221212112202.

It is a happy number.

2022112121220 is a `hidden beast` number, since 20 + 2 + 211 + 212 + 1 + 220 = 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 = 2022112121193 and 2022112121202.

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, 13870105 + ... + 14015135.

It is an arithmetic number, because the mean of its divisors is an integer number (44081026080).

Almost surely, 22022112121220 is an apocalyptic number.

2022112121220 is a gapful number since it is divisible by the number (20) 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 2022112121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173833877760).

2022112121220 is an abundant number, since it is smaller than the sum of its proper divisors (4325555634300).

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

2022112121220 is a wasteful number, since it uses less digits than its factorization.

2022112121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147746 (or 147741 counting only the distinct ones).

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

Adding to 2022112121220 its reverse (221212112202), we get a palindrome (2243324233422).

The spelling of 2022112121220 in words is "two trillion, twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 2671 5220 5342 8013 10684 13355 16026 24039 26710 32052 40065 48078 53420 77459 80130 96156 120195 145031 154918 160260 232377 240390 290062 309836 387295 435093 464754 480780 580124 697131 725155 774590 870186 929508 1161885 1305279 1394262 1450310 1549180 1740372 2175465 2323770 2610558 2788524 2900620 3485655 4205899 4350930 4647540 5221116 6526395 6971310 8411798 8701860 12617697 13052790 13942620 16823596 21029495 25235394 26105580 37853091 42058990 50470788 63088485 75706182 84117980 126176970 151412364 189265455 252353940 378530910 387377801 757061820 774755602 1162133403 1549511204 1936889005 2324266806 3486400209 3873778010 4648533612 5810667015 6972800418 7747556020 11233956229 11621334030 13945600836 17432001045 22467912458 23242668060 33701868687 34864002090 44935824916 56169781145 67403737374 69728004180 101105606061 112339562290 134807474748 168509343435 202211212122 224679124580 337018686870 404422424244 505528030305 674037373740 1011056060610 2022112121220