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12200010211221 = 3723125729093581
BaseRepresentation
bin1011000110001000100101…
…0001100101111110010101
31121012022100200120120110020
42301202021101211332111
53044341110103224341
641540335103015353
72366264424525600
oct261421121457625
947168320516406
1012200010211221
113983aa478a928
12145053a89a559
136a65c0b757b1
143026ab19b337
1516253c210566
hexb1889465f95

12200010211221 has 96 divisors (see below), whose sum is σ = 19621088732160. Its totient is φ = 6716112076800.

The previous prime is 12200010211219. The next prime is 12200010211231. The reversal of 12200010211221 is 12211201000221.

It is not a de Polignac number, because 12200010211221 - 21 = 12200010211219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12200010211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200010211231) 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, 3406870651 + ... + 3406874231.

It is an arithmetic number, because the mean of its divisors is an integer number (204386340960).

Almost surely, 212200010211221 is an apocalyptic number.

It is an amenable number.

12200010211221 is a deficient number, since it is larger than the sum of its proper divisors (7421078520939).

12200010211221 is a wasteful number, since it uses less digits than its factorization.

12200010211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200010211221 its reverse (12211201000221), we get a palindrome (24411211211442).

The spelling of 12200010211221 in words is "twelve trillion, two hundred billion, ten million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 21 31 49 93 147 217 257 651 771 1519 1799 2909 3581 4557 5397 7967 8727 10743 12593 20363 23901 25067 37779 55769 61089 75201 90179 111011 142541 167307 175469 270537 333033 390383 427623 526407 631253 747613 777077 920317 1171149 1893759 2242839 2331231 2760951 4418771 5233291 5439539 6442219 10417129 13256313 15699873 16318617 19326657 23176003 28529827 31251387 36633037 45095533 69528009 72919903 85589481 109899111 135286599 162232021 199708789 218759709 322930999 486696063 510439321 599126367 968792997 1135624147 1397961523 1531317963 2260516993 2677202153 3406872441 4193884569 6781550979 8031606459 15823618951 18740415071 47470856853 56221245213 82993266743 131182905497 248979800229 393548716491 580952867201 1742858601603 4066670070407 12200010211221