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12212011122210 = 2345411013640801
BaseRepresentation
bin1011000110110101010010…
…0101011011111000100010
31121020110100001102000110000
42301231110211123320202
53100040144321402320
641550042004120430
72400201006555354
oct261552445337042
947213301360400
1012212011122210
1139890a2a03989
121452929996116
136a7784268b63
143030c8d750d4
151629e0ab0c90
hexb1b5495be22

12212011122210 has 160 divisors (see below), whose sum is σ = 33970692382704. Its totient is φ = 3145651200000.

The previous prime is 12212011122197. The next prime is 12212011122239. The reversal of 12212011122210 is 1222111021221.

12212011122210 is a `hidden beast` number, since 1 + 221 + 201 + 11 + 22 + 210 = 666.

12212011122210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3790587045249 + 8421424076961 = 1946943^2 + 2901969^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1533810 + ... + 5174610.

Almost surely, 212212011122210 is an apocalyptic number.

12212011122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212011122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985346191352).

12212011122210 is an abundant number, since it is smaller than the sum of its proper divisors (21758681260494).

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

12212011122210 is a wasteful number, since it uses less digits than its factorization.

12212011122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640962 (or 3640953 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212011122210 its reverse (1222111021221), we get a palindrome (13434122143431).

The spelling of 12212011122210 in words is "twelve trillion, two hundred twelve billion, eleven million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 101 123 135 162 202 205 246 270 303 369 405 410 505 606 615 738 810 909 1010 1107 1230 1515 1818 1845 2214 2727 3030 3321 3690 4141 4545 5454 5535 6642 8181 8282 9090 11070 12423 13635 16362 16605 20705 24846 27270 33210 37269 40905 41410 62115 74538 81810 111807 124230 186345 223614 335421 372690 559035 670842 1118070 1677105 3354210 3640801 7281602 10922403 18204005 21844806 32767209 36408010 54612015 65534418 98301627 109224030 149272841 163836045 196603254 294904881 298545682 327672090 367720901 447818523 491508135 589809762 735441802 746364205 895637046 983016270 1103162703 1343455569 1474524405 1492728410 1838604505 2206325406 2239092615 2686911138 2949048810 3309488109 3677209010 4030366707 4478185230 5515813515 6618976218 6717277845 8060733414 9928464327 11031627030 12091100121 13434555690 15076556941 16547440545 19856928654 20151833535 24182200242 29785392981 30153113882 33094881090 40303667070 45229670823 49642321635 59570785962 60455500605 75382784705 90459341646 99284643270 120911001210 135689012469 148926964905 150765569410 226148354115 271378024938 297853929810 407067037407 452296708230 678445062345 814134074814 1221201112221 1356890124690 2035335187035 2442402224442 4070670374070 6106005561105 12212011122210