Search a number
-
+
12204211240221 = 37111337683160817
BaseRepresentation
bin1011000110011000001110…
…1011001111110100011101
31121012201012110112221211220
42301212003223033310131
53044423211034141341
641542312013403553
72366503505633550
oct261460353176435
947181173487756
1012204211240221
11398586009a120
1214513117995b9
136a6b10321980
143029890c0697
151626d5e44a66
hexb1983acfd1d

12204211240221 has 128 divisors (see below), whose sum is σ = 22471580307456. Its totient is φ = 5685630382080.

The previous prime is 12204211240219. The next prime is 12204211240271.

12204211240221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12204211240221 - 21 = 12204211240219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12204211240191 and 12204211240200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204211240271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75808405 + ... + 75969221.

It is an arithmetic number, because the mean of its divisors is an integer number (175559221152).

Almost surely, 212204211240221 is an apocalyptic number.

12204211240221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12204211240221 is a deficient number, since it is larger than the sum of its proper divisors (10267369067235).

12204211240221 is a wasteful number, since it uses less digits than its factorization.

12204211240221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161571.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1220421 and 1240221, that added together give a palindrome (2460642).

The spelling of 12204211240221 in words is "twelve trillion, two hundred four billion, two hundred eleven million, two hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 683 777 1001 1221 1443 2049 2849 3003 3367 4781 5291 7513 8547 8879 10101 14343 15873 22539 25271 26637 37037 52591 62153 75813 97669 111111 157773 160817 176897 186459 277981 293007 328523 482451 530691 683683 833943 985569 1125719 1768987 1945867 2051049 2090621 2299661 3377157 3613753 5306961 5837601 5950229 6271863 6898983 10841259 12382909 14634347 17850687 22996831 25296271 37148727 41651603 43903041 65452519 68990493 75888813 77352977 109838011 124954809 160977817 196357557 232058931 329514033 458167633 482933451 541470839 768866077 850882747 1208218121 1374502899 1427894143 1624412517 2306598231 2552648241 3624654363 4064006407 4283682429 5956179229 8457526847 9995259001 12192019221 15706835573 17868537687 25372580541 28448044849 29985777003 44704070477 47120506719 52832083291 85344134547 109947849011 134112211431 158496249873 312928493339 329843547033 369824583037 581152916201 938785480017 1109473749111 1743458748603 4068070413407 12204211240221