Search a number
-
+
2221201122120 = 2332537166756841
BaseRepresentation
bin100000010100101001111…
…001110110001101001000
321212100022022210010111200
4200110221321312031020
5242343004441401440
64420223344424200
7316322302006521
oct40245171661510
97770268703450
102221201122120
11787008143912
122ba597918060
131315c6056306
1479714599848
153cba287ac30
hex20529e76348

2221201122120 has 96 divisors (see below), whose sum is σ = 7414009195320. Its totient is φ = 576311639040.

The previous prime is 2221201122097. The next prime is 2221201122139. The reversal of 2221201122120 is 212211021222.

It is a happy number.

2221201122120 is a `hidden beast` number, since 2 + 221 + 201 + 1 + 221 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1883377459044 + 337823663076 = 1372362^2 + 581226^2 .

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 = 2221201122093 and 2221201122102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83365101 + ... + 83391740.

Almost surely, 22221201122120 is an apocalyptic number.

2221201122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221201122120 is an abundant number, since it is smaller than the sum of its proper divisors (5192808073200).

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

2221201122120 is a wasteful number, since it uses less digits than its factorization.

2221201122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166756895 (or 166756888 counting only the distinct ones).

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

Adding to 2221201122120 its reverse (212211021222), we get a palindrome (2433412143342).

The spelling of 2221201122120 in words is "two trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 166756841 333513682 500270523 667027364 833784205 1000541046 1334054728 1500811569 1667568410 2001082092 2501352615 3001623138 3335136820 4002164184 5002705230 6003246276 6170003117 6670273640 7504057845 10005410460 12006492552 12340006234 15008115690 18510009351 20010820920 24680012468 30016231380 30850015585 37020018702 49360024936 55530028053 60032462760 61700031170 74040037404 92550046755 111060056106 123400062340 148080074808 185100093510 222120112212 246800124680 277650140265 370200187020 444240224424 555300280530 740400374040 1110600561060 2221201122120