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12021221110203 = 354123945711047
BaseRepresentation
bin1010111011101110100010…
…0111010011000110111011
31120120012212120100012100000
42232323220213103012323
53033423430101011303
641322250040044043
72350335031326324
oct256735047230673
946505776305300
1012021221110203
113915197a19008
121421962763623
1369279a070526
142d7b8a12b44b
1515ca75e96da3
hexaeee89d31bb

12021221110203 has 96 divisors (see below), whose sum is σ = 18565688494080. Its totient is φ = 7768225866240.

The previous prime is 12021221110189. The next prime is 12021221110207. The reversal of 12021221110203 is 30201112212021.

12021221110203 is a `hidden beast` number, since 120 + 212 + 21 + 110 + 203 = 666.

It is not a de Polignac number, because 12021221110203 - 24 = 12021221110187 is a prime.

It is a super-3 number, since 3×120212211102033 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12021221110207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1088183226 + ... + 1088194272.

It is an arithmetic number, because the mean of its divisors is an integer number (193392588480).

Almost surely, 212021221110203 is an apocalyptic number.

12021221110203 is a deficient number, since it is larger than the sum of its proper divisors (6544467383877).

12021221110203 is a wasteful number, since it uses less digits than its factorization.

12021221110203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11799 (or 11787 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12021221110203 its reverse (30201112212021), we get a palindrome (42222333322224).

It can be divided in two parts, 1202122 and 1110203, that added together give a triangular number (2312325 = T2150).

The spelling of 12021221110203 in words is "twelve trillion, twenty-one billion, two hundred twenty-one million, one hundred ten thousand, two hundred three".

Divisors: 1 3 9 27 41 81 123 239 243 369 457 717 1107 1371 2151 3321 4113 6453 9799 9963 11047 12339 18737 19359 29397 33141 37017 56211 58077 88191 99423 109223 111051 168633 264573 298269 327669 452927 505899 793719 894807 983007 1358781 1517697 2381157 2640233 2684421 2949021 4076343 4478143 4553091 5048479 7920699 8847063 12229029 13434429 15145437 23762097 26541189 36687087 40303287 45436311 71286291 108249553 110061261 120909861 136308933 206987639 213858873 324748659 362729583 408926799 620962917 641576619 974245977 1088188749 1206586481 1226780397 1862888751 2922737931 3619759443 5588666253 8768213793 10859278329 16765998759 26304641379 32577834987 49470045721 50297996277 97733504961 148410137163 293200514883 445230411489 1335691234467 4007073703401 12021221110203