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1102121122212 = 22321129108788289
BaseRepresentation
bin10000000010011011100…
…010011011100110100100
310220100202201022221101200
4100002123202123212210
5121024121001402322
62202150224322500
7142424405653215
oct20023342334644
93810681287350
101102121122212
11395452706560
12159722173430
137cc11380286
143b4b309140c
151da06cdb8ac
hex1009b89b9a4

1102121122212 has 144 divisors (see below), whose sum is σ = 3146909875200. Its totient is φ = 322159380480.

The previous prime is 1102121122189. The next prime is 1102121122231. The reversal of 1102121122212 is 2122211212011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12438964 + ... + 12527252.

It is an arithmetic number, because the mean of its divisors is an integer number (21853540800).

Almost surely, 21102121122212 is an apocalyptic number.

1102121122212 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 1102121122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573454937600).

1102121122212 is an abundant number, since it is smaller than the sum of its proper divisors (2044788752988).

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

1102121122212 is a wasteful number, since it uses less digits than its factorization.

1102121122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89426 (or 89421 counting only the distinct ones).

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

Adding to 1102121122212 its reverse (2122211212011), we get a palindrome (3224332334223).

The spelling of 1102121122212 in words is "one trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1087 1276 1914 2174 2871 3261 3828 4348 5742 6522 9783 11484 11957 13044 19566 23914 31523 35871 39132 47828 63046 71742 88289 94569 107613 126092 143484 176578 189138 215226 264867 283707 346753 353156 378276 430452 529734 567414 693506 794601 971179 1040259 1059468 1134828 1387012 1589202 1942358 2080518 2560381 2913537 3120777 3178404 3884716 4161036 5120762 5827074 6241554 7681143 8740611 10241524 11654148 12483108 15362286 17481222 23043429 28164191 30724572 34962444 46086858 56328382 84492573 92173716 95970143 112656764 168985146 191940286 253477719 287910429 337970292 383880572 506955438 575820858 863731287 1013910876 1055671573 1151641716 1727462574 2111343146 2783134147 3167014719 3454925148 4222686292 5566268294 6334029438 8349402441 9501044157 11132536588 12668058876 16698804882 19002088314 25048207323 30614475617 33397609764 38004176628 50096414646 61228951234 91843426851 100192829292 122457902468 183686853702 275530280553 367373707404 551060561106 1102121122212