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12212211102 = 237413611069
BaseRepresentation
bin10110101111110011…
…11000110110011110
31011112002102121020220
423113321320312132
5200002311223402
65335450022210
7611426040000
oct132771706636
934462377226
1012212211102
1151a7524a53
122449a17966
1311c8105c20
1483bc9c370
154b71dcdbc
hex2d7e78d9e

12212211102 has 160 divisors (see below), whose sum is σ = 31217481120. Its totient is φ = 3165039360.

The previous prime is 12212211101. The next prime is 12212211127. The reversal of 12212211102 is 20111221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212211101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11423424 + ... + 11424492.

It is an arithmetic number, because the mean of its divisors is an integer number (195109257).

Almost surely, 212212211102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608740560).

12212211102 is an abundant number, since it is smaller than the sum of its proper divisors (19005270018).

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

12212211102 is a wasteful number, since it uses less digits than its factorization.

12212211102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1155 counting only the distinct ones).

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

Adding to 12212211102 its reverse (20111221221), we get a palindrome (32323432323).

The spelling of 12212211102 in words is "twelve billion, two hundred twelve million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 61 78 91 98 122 147 182 183 273 294 343 366 427 546 637 686 793 854 1029 1069 1274 1281 1586 1911 2058 2138 2379 2401 2562 2989 3207 3822 4459 4758 4802 5551 5978 6414 7203 7483 8918 8967 11102 13377 13897 14406 14966 16653 17934 20923 22449 26754 27794 31213 33306 38857 41691 41846 44898 52381 62426 62769 65209 77714 83382 93639 97279 104762 116571 125538 130418 146461 157143 187278 194558 195627 233142 271999 291837 292922 314286 366667 391254 439383 456463 543998 583674 680953 733334 815997 847717 878766 912926 1100001 1361906 1369389 1631994 1695434 1903993 2042859 2200002 2543151 2566669 2738778 3195241 3807986 4085718 4766671 5086302 5133338 5711979 5934019 6390482 7700007 9533342 9585723 11423958 11868038 14300013 15400014 17802057 19171446 22366687 28600026 33366697 35604114 41538133 44733374 66733394 67100061 83076266 100100091 124614399 134200122 156566809 200200182 249228798 290766931 313133618 469700427 581533862 872300793 939400854 1744601586 2035368517 4070737034 6106105551 12212211102