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120212413321 = 71113412199359
BaseRepresentation
bin110111111110100110…
…1111101101110001001
3102111021210212022210111
41233331031331232021
53432143334211241
6131120321114321
711453655440140
oct1577515755611
9374253768714
10120212413321
1146a88856420
121b36aa889a1
13b44a1c9820
145b6563a757
1531d8962c81
hex1bfd37db89

120212413321 has 96 divisors (see below), whose sum is σ = 166731264000. Its totient is φ = 83699827200.

The previous prime is 120212413313. The next prime is 120212413331. The reversal of 120212413321 is 123314212021.

It is not a de Polignac number, because 120212413321 - 23 = 120212413313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120212413292 and 120212413301.

It is not an unprimeable number, because it can be changed into a prime (120212413331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334853340 + ... + 334853698.

It is an arithmetic number, because the mean of its divisors is an integer number (1736784000).

Almost surely, 2120212413321 is an apocalyptic number.

120212413321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120212413321 is a deficient number, since it is larger than the sum of its proper divisors (46518850679).

120212413321 is a wasteful number, since it uses less digits than its factorization.

120212413321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 120212413321 its reverse (123314212021), we get a palindrome (243526625342).

The spelling of 120212413321 in words is "one hundred twenty billion, two hundred twelve million, four hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 7 11 13 41 77 91 143 199 287 359 451 533 1001 1393 1681 2189 2513 2587 3157 3731 3949 4667 5863 8159 11767 14719 15323 18109 18491 21853 27643 28457 32669 41041 51337 57113 71441 89749 103033 106067 129437 152971 161909 191347 199199 240383 334519 359359 500087 603479 628243 742469 785851 928733 1133363 1166737 1339429 1682681 2104817 2341633 2929081 3679709 4224353 4348747 5500957 6501131 6638269 7845227 8167159 10216063 14733719 20503567 25757963 30441229 32219891 38078053 46467883 47836217 54916589 71512441 86297497 120092321 225539237 266546371 334853519 418858583 604082479 840646247 1321015531 1561200173 2932010081 9247108717 10928401211 17173201903 120212413321