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110220121210212 = 223213389605432081
BaseRepresentation
bin11001000011111010011111…
…001010111111110101100100
3112110020221101202102212000100
4121003322133022333311210
5103421321302012211322
61030230231421144100
732134066232112156
oct3103723712776544
9473227352385010
10110220121210212
11321350aaa99442
12104414936bb030
134966936126c80
141d3097a45aad6
15cb2129396dac
hex643e9f2bfd64

110220121210212 has 72 divisors (see below), whose sum is σ = 300814984262520. Its totient is φ = 33826701173760.

The previous prime is 110220121210181. The next prime is 110220121210217. The reversal of 110220121210212 is 212012121022011.

110220121210212 is a `hidden beast` number, since 1 + 1 + 0 + 220 + 1 + 21 + 210 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7599858022656 + 102620263187556 = 2756784^2 + 10130166^2 .

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

It is not an unprimeable number, because it can be changed into a prime (110220121210217) 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, 302533989 + ... + 302898092.

It is an arithmetic number, because the mean of its divisors is an integer number (4177985892535).

Almost surely, 2110220121210212 is an apocalyptic number.

110220121210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110220121210212 is an abundant number, since it is smaller than the sum of its proper divisors (190594863052308).

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

110220121210212 is a wasteful number, since it uses less digits than its factorization.

110220121210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605432493 (or 605432488 counting only the distinct ones).

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

Adding to 110220121210212 its reverse (212012121022011), we get a palindrome (322232242232223).

The spelling of 110220121210212 in words is "one hundred ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 389 468 778 1167 1556 2334 3501 4668 5057 7002 10114 14004 15171 20228 30342 45513 60684 91026 182052 605432081 1210864162 1816296243 2421728324 3632592486 5448888729 7265184972 7870617053 10897777458 15741234106 21795554916 23611851159 31482468212 47223702318 70835553477 94447404636 141671106954 235513079509 283342213908 471026159018 706539238527 942052318036 1413078477054 2119617715581 2826156954108 3061670033617 4239235431162 6123340067234 8478470862324 9185010100851 12246680134468 18370020201702 27555030302553 36740040403404 55110060605106 110220121210212