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12233020212 = 223272310120897
BaseRepresentation
bin10110110010010010…
…10001001100110100
31011120112120210222200
423121021101030310
5200023123121322
65341512024500
7612100645650
oct133111211464
934515523880
1012233020212
115208248166
122454992130
1311cc5106ca
14840957a60
154b8e4d8ac
hex2d9251334

12233020212 has 144 divisors (see below), whose sum is σ = 37243245312. Its totient is φ = 3309926400.

The previous prime is 12233020201. The next prime is 12233020237. The reversal of 12233020212 is 21202033221.

12233020212 is a `hidden beast` number, since 122 + 330 + 2 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 574948 + ... + 595844.

It is an arithmetic number, because the mean of its divisors is an integer number (258633648).

Almost surely, 212233020212 is an apocalyptic number.

12233020212 is a gapful number since it is divisible by the number (12) 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 12233020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18621622656).

12233020212 is an abundant number, since it is smaller than the sum of its proper divisors (25010225100).

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

12233020212 is a wasteful number, since it uses less digits than its factorization.

12233020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21038 (or 21033 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12233020212 its reverse (21202033221), we get a palindrome (33435053433).

The spelling of 12233020212 in words is "twelve billion, two hundred thirty-three million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 101 126 138 161 202 207 252 276 303 322 404 414 483 606 644 707 828 909 966 1212 1414 1449 1818 1932 2121 2323 2828 2898 3636 4242 4646 5796 6363 6969 8484 9292 12726 13938 16261 20897 20907 25452 27876 32522 41794 41814 48783 62691 65044 83588 83628 97566 125382 146279 146349 188073 195132 250764 292558 292698 376146 438837 480631 585116 585396 752292 877674 961262 1316511 1441893 1755348 1922524 2110597 2633022 2883786 3364417 4221194 4325679 5266044 5767572 6331791 6728834 8442388 8651358 10093251 12663582 13457668 14774179 17302716 18995373 20186502 25327164 29548358 30279753 37990746 40373004 44322537 48543731 59096716 60559506 75981492 88645074 97087462 121119012 132967611 145631193 177290148 194174924 265935222 291262386 339806117 436893579 531870444 582524772 679612234 873787158 1019418351 1359224468 1747574316 2038836702 3058255053 4077673404 6116510106 12233020212