Search a number
-
+
12212011112 = 237538389557
BaseRepresentation
bin10110101111110010…
…01000000001101000
31011112002001102220212
423113321020001220
5200002233323422
65335441440252
7611424244640
oct132771100150
934462042825
1012212011112
1151a73a8774
122449940088
1311c8065ba2
1483bc49520
154b719d9e2
hex2d7e48068

12212011112 has 128 divisors (see below), whose sum is σ = 27335750400. Its totient is φ = 5007095808.

The previous prime is 12212011087. The next prime is 12212011139. The reversal of 12212011112 is 21111021221.

It is a super-2 number, since 2×122120111122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21924338 + ... + 21924894.

It is an arithmetic number, because the mean of its divisors is an integer number (213560550).

Almost surely, 212212011112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667875200).

12212011112 is an abundant number, since it is smaller than the sum of its proper divisors (15123739288).

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

12212011112 is a wasteful number, since it uses less digits than its factorization.

12212011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12212011112 its reverse (21111021221), we get a palindrome (33323032333).

The spelling of 12212011112 in words is "twelve billion, two hundred twelve million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 53 56 83 89 106 166 178 212 332 356 371 424 557 581 623 664 712 742 1114 1162 1246 1484 2228 2324 2492 2968 3899 4399 4456 4648 4717 4984 7387 7798 8798 9434 14774 15596 17596 18868 29521 29548 30793 31192 33019 35192 37736 46231 49573 51709 59042 59096 61586 66038 92462 99146 103418 118084 123172 132076 184924 198292 206647 206836 236168 246344 264152 323617 347011 369848 391511 396584 413294 413672 647234 694022 783022 826588 1294468 1388044 1566044 1653176 2450243 2588936 2627369 2740577 2776088 3132088 4114559 4900486 5254738 5481154 8229118 9800972 10509476 10962308 16458236 17151701 18391583 19601944 21018952 21924616 28801913 32916472 34303402 36783166 57603826 68606804 73566332 115207652 137213608 147132664 218071627 230415304 436143254 872286508 1526501389 1744573016 3053002778 6106005556 12212011112