Search a number
-
+
120000222120222 = 232191307493123057
BaseRepresentation
bin11011010010001110111010…
…100111001100100100011110
3120201212220112210201220121100
4123102032322213030210132
5111212040423330321342
61103115201353413530
734163505241161033
oct3322167247144436
9521786483656540
10120000222120222
1135265898a95444
1211560a1b70a2a6
1351c5c8445a462
14218c08276d38a
15dd1733dcde4c
hex6d23ba9cc91e

120000222120222 has 96 divisors (see below), whose sum is σ = 262277632641024. Its totient is φ = 39651275347200.

The previous prime is 120000222120211. The next prime is 120000222120223. The reversal of 120000222120222 is 222021222000021.

120000222120222 is a `hidden beast` number, since 1 + 200 + 0 + 0 + 2 + 221 + 20 + 222 = 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 = 120000222120195 and 120000222120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000222120223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5204491318 + ... + 5204514374.

It is an arithmetic number, because the mean of its divisors is an integer number (2732058673344).

Almost surely, 2120000222120222 is an apocalyptic number.

120000222120222 is an abundant number, since it is smaller than the sum of its proper divisors (142277410520802).

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

120000222120222 is a wasteful number, since it uses less digits than its factorization.

120000222120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28494 (or 28491 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120000222120222 its reverse (222021222000021), we get a palindrome (342021444120243).

The spelling of 120000222120222 in words is "one hundred twenty trillion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 191 307 382 573 614 921 1146 1719 1842 2763 3438 4931 5526 9862 14793 23057 29586 44379 46114 58637 69171 88758 117274 138342 175911 207513 351822 415026 527733 941821 1055466 1513817 1883642 2825463 3027634 4403887 4541451 5650926 7078499 8476389 8807774 9082902 13211661 13624353 14156998 16952778 21235497 26423322 27248706 39634983 42470994 63706491 79269966 113694067 127412982 227388134 289139047 341082201 578278094 682164402 867417141 1023246603 1351993309 1734834282 2046493206 2602251423 2703986618 4055979927 5204502846 8111959854 12167939781 21715566797 24335879562 34904078569 43431133594 65146700391 69808157138 104712235707 130293400782 195440101173 209424471414 314136707121 390880202346 628273414242 6666679006679 13333358013358 20000037020037 40000074040074 60000111060111 120000222120222