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112021120201221 = 33721115749028401
BaseRepresentation
bin11001011110000111110011…
…000100111011001000000101
3112200122010002110210000112000
4121132013303010323020011
5104140323223232414341
61034125443040015513
732411154534002400
oct3136076304731005
9480563073700460
10112021120201221
1132769987a72830
121069253a601599
134a67714314cca
141d93bcb792d37
15ce3dd69828b6
hex65e1f313b205

112021120201221 has 96 divisors (see below), whose sum is σ = 211943898437760. Its totient is φ = 57822133824000.

The previous prime is 112021120201219. The next prime is 112021120201271. The reversal of 112021120201221 is 122102021120211.

112021120201221 is a `hidden beast` number, since 1 + 12 + 0 + 211 + 20 + 201 + 221 = 666.

It is not a de Polignac number, because 112021120201221 - 21 = 112021120201219 is a prime.

It is a super-2 number, since 2×1120211202012212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112021120201194 and 112021120201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112021120201271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22229380 + ... + 26799021.

It is an arithmetic number, because the mean of its divisors is an integer number (2207748942060).

Almost surely, 2112021120201221 is an apocalyptic number.

112021120201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112021120201221 is a deficient number, since it is larger than the sum of its proper divisors (99922778236539).

112021120201221 is a wasteful number, since it uses less digits than its factorization.

112021120201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49028592 (or 49028579 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112021120201221 its reverse (122102021120211), we get a palindrome (234123141321432).

The spelling of 112021120201221 in words is "one hundred twelve trillion, twenty-one billion, one hundred twenty million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 157 189 231 297 441 471 539 693 1099 1323 1413 1617 1727 2079 3297 4239 4851 5181 7693 9891 12089 14553 15543 23079 29673 36267 46629 69237 84623 108801 207711 253869 326403 761607 2284821 49028401 147085203 343198807 441255609 539312411 1029596421 1323766827 1617937233 2402391649 3088789263 3775186877 4853811699 7207174947 7697458957 9266367789 11325560631 14561435097 21621524841 23092376871 26426308139 33976681893 53882212699 64864574523 69277130613 79278924417 84672048527 101930045679 161646638097 207831391839 237836773251 254016145581 377175488893 484939914291 592704339689 713510319753 762048436743 1131526466679 1454819742873 1778113019067 2286145310229 3394579400037 4148930377823 5334339057201 10183738200111 12446791133469 16003017171603 37340373400407 112021120201221