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12001122103322 = 21119101313790617
BaseRepresentation
bin1010111010100011101010…
…0111101011000000011010
31120111021222211111212011202
42232220322213223000122
53033111244224301242
641305123412354202
72346023664514532
oct256507247530032
946437884455152
1012001122103322
113907713616720
121419a93615962
1369091600c151
142d6c00a324c2
1515c29b6c0932
hexaea3a9eb01a

12001122103322 has 64 divisors (see below), whose sum is σ = 20883345816960. Its totient is φ = 5115091968000.

The previous prime is 12001122103319. The next prime is 12001122103339. The reversal of 12001122103322 is 22330122110021.

12001122103322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12001122103294 and 12001122103303.

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, 132392558 + ... + 132483174.

It is an arithmetic number, because the mean of its divisors is an integer number (326302278390).

Almost surely, 212001122103322 is an apocalyptic number.

12001122103322 is a deficient number, since it is larger than the sum of its proper divisors (8882223713638).

12001122103322 is a wasteful number, since it uses less digits than its factorization.

12001122103322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93887.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12001122103322 its reverse (22330122110021), we get a palindrome (34331244213343).

The spelling of 12001122103322 in words is "twelve trillion, one billion, one hundred twenty-two million, one hundred three thousand, three hundred twenty-two".

Divisors: 1 2 11 19 22 38 101 202 209 418 1111 1919 2222 3137 3838 6274 21109 34507 42218 59603 69014 90617 119206 181234 316837 633674 655633 996787 1311266 1721723 1993574 3443446 3485207 6019903 6970414 9152317 12039806 18304634 18938953 37877906 66218933 100675487 132437866 173894023 201350974 284265529 347788046 568531058 1912834253 3126920819 3825668506 5401045051 6253841638 10802090102 28710818429 57421636858 59411495561 118822991122 315819002719 545505550151 631638005438 1091011100302 6000561051661 12001122103322