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112021111012212 = 2232101443339120509
BaseRepresentation
bin11001011110000111110010…
…100001110111101101110100
3112200122010001211111011120100
4121132013302201313231310
5104140323213404342322
61034125442111034100
732411154362621313
oct3136076241675564
9480563054434510
10112021111012212
1132769982866a06
121069253750b930
134a6771244861c
141d93bca48027a
15ce3dd5c69dac
hex65e1f2877b74

112021111012212 has 144 divisors (see below), whose sum is σ = 286712110863360. Its totient is φ = 36874532448000.

The previous prime is 112021111012207. The next prime is 112021111012351. The reversal of 112021111012212 is 212210111120211.

It is a happy number.

112021111012212 is a `hidden beast` number, since 1 + 120 + 211 + 110 + 1 + 221 + 2 = 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, 5462036214 + ... + 5462056722.

It is an arithmetic number, because the mean of its divisors is an integer number (1991056325440).

Almost surely, 2112021111012212 is an apocalyptic number.

112021111012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112021111012212 is an abundant number, since it is smaller than the sum of its proper divisors (174690999851148).

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

112021111012212 is a wasteful number, since it uses less digits than its factorization.

112021111012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24454 (or 24449 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112021111012212 its reverse (212210111120211), we get a palindrome (324231222132423).

The spelling of 112021111012212 in words is "one hundred twelve trillion, twenty-one billion, one hundred eleven million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 443 606 886 909 1212 1329 1772 1818 2658 3391 3636 3987 5316 6782 7974 10173 13564 15948 20346 20509 30519 40692 41018 44743 61038 61527 82036 89486 122076 123054 134229 178972 184581 246108 268458 342491 369162 402687 536916 684982 738324 805374 1027473 1369964 1502213 1610748 2054946 2071409 3004426 3082419 4109892 4142818 4506639 6008852 6164838 6214227 8285636 9013278 9085487 12329676 12428454 13519917 18026556 18170974 18642681 24856908 27039834 27256461 36341948 37285362 54079668 54512922 69546019 74570724 81769383 109025844 139092038 151723513 163538766 208638057 278184076 303447026 327077532 417276114 455170539 606894052 625914171 834552228 910341078 917634187 1251828342 1365511617 1820682156 1835268374 2503656684 2731023234 2752902561 3670536748 5462046468 5505805122 7024147919 8258707683 11011610244 14048295838 16517415366 21072443757 28096591676 30808886417 33034830732 42144887514 61617772834 63217331271 84289775028 92426659251 123235545668 126434662542 184853318502 252869325084 277279977753 369706637004 554559955506 1109119911012 3111697528117 6223395056234 9335092584351 12446790112468 18670185168702 28005277753053 37340370337404 56010555506106 112021111012212