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1221112220112 = 243237563407083
BaseRepresentation
bin10001110001001111111…
…101011100100111010000
311022201220102002000101200
4101301033331130213100
5130001314212020422
62332545440431200
7154136204420121
oct21611775344720
94281812060350
101221112220112
11430964017594
121787b0018500
138b1c5531545
1443160410048
1521b6d4032ac
hex11c4ff5c9d0

1221112220112 has 120 divisors (see below), whose sum is σ = 3516023588064. Its totient is φ = 395331985152.

The previous prime is 1221112220093. The next prime is 1221112220113. The reversal of 1221112220112 is 2110222111221.

1221112220112 is a `hidden beast` number, since 1 + 221 + 112 + 220 + 112 = 666.

It is a super-3 number, since 3×12211122201123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221112220113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2796123 + ... + 3203205.

Almost surely, 21221112220112 is an apocalyptic number.

1221112220112 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 1221112220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758011794032).

1221112220112 is an abundant number, since it is smaller than the sum of its proper divisors (2294911367952).

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

1221112220112 is a wasteful number, since it uses less digits than its factorization.

1221112220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407697 (or 407688 counting only the distinct ones).

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

Adding to 1221112220112 its reverse (2110222111221), we get a palindrome (3331334331333).

The spelling of 1221112220112 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 563 592 666 888 1126 1332 1689 1776 2252 2664 3378 4504 5067 5328 6756 9008 10134 13512 20268 20831 27024 40536 41662 62493 81072 83324 124986 166648 187479 249972 333296 374958 407083 499944 749916 814166 999888 1221249 1499832 1628332 2442498 2999664 3256664 3663747 4884996 6513328 7327494 9769992 14654988 15062071 19539984 29309976 30124142 45186213 58619952 60248284 90372426 120496568 135558639 180744852 229187729 240993136 271117278 361489704 458375458 542234556 687563187 722979408 916750916 1084469112 1375126374 1833501832 2062689561 2168938224 2750252748 3667003664 4125379122 5500505496 8250758244 8479945973 11001010992 16501516488 16959891946 25439837919 33003032976 33919783892 50879675838 67839567784 76319513757 101759351676 135679135568 152639027514 203518703352 305278055028 407037406704 610556110056 1221112220112