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12221111011100 = 2252714733363677
BaseRepresentation
bin1011000111010111001011…
…1110110000011100011100
31121021022211020110021020212
42301311302332300130130
53100212313404323400
641554144554231552
72400642344416565
oct261656276603434
947238736407225
1012221111011100
113991a42620112
1214546494255b8
136a85a46211b4
1430370d74d16c
15162d7491e335
hexb1d72fb071c

12221111011100 has 72 divisors (see below), whose sum is σ = 26899085410848. Its totient is φ = 4818561529600.

The previous prime is 12221111011063. The next prime is 12221111011121. The reversal of 12221111011100 is 111011112221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33422462 + ... + 33786138.

It is an arithmetic number, because the mean of its divisors is an integer number (373598408484).

Almost surely, 212221111011100 is an apocalyptic number.

12221111011100 is a gapful number since it is divisible by the number (10) 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 12221111011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449542705424).

12221111011100 is an abundant number, since it is smaller than the sum of its proper divisors (14677974399748).

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

12221111011100 is a wasteful number, since it uses less digits than its factorization.

12221111011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368495 (or 368488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12221111011100 its reverse (111011112221), we get a palindrome (12332122123321).

The spelling of 12221111011100 in words is "twelve trillion, two hundred twenty-one billion, one hundred eleven million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 4733 7100 9466 18932 23665 47330 94660 118325 236650 336043 363677 473300 672086 727354 1344172 1454708 1680215 1818385 3360430 3636770 6720860 7273540 8401075 9091925 16802150 18183850 25821067 33604300 36367700 51642134 103284268 129105335 258210670 516421340 645526675 1291053350 1721283241 2582106700 3442566482 6885132964 8606416205 17212832410 34425664820 43032081025 86064162050 122211110111 172128324100 244422220222 488844440444 611055550555 1222111101110 2444222202220 3055277752775 6110555505550 12221111011100