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12220200112212 = 2234432413639551
BaseRepresentation
bin1011000111010011110010…
…1011111101000001010100
31121021020110202102210220000
42301310330223331001110
53100203432212042322
641553514334411300
72400610644045651
oct261647453750124
947236422383800
1012220200112212
113991615424314
121454434360b30
136a848a9aca81
14303664796c28
15162d1e98d3ac
hexb1d3cafd054

12220200112212 has 120 divisors (see below), whose sum is σ = 32824595392512. Its totient is φ = 3962159712000.

The previous prime is 12220200112177. The next prime is 12220200112213. The reversal of 12220200112212 is 21221100202221.

It is a happy number.

12220200112212 is a `hidden beast` number, since 12 + 220 + 200 + 11 + 221 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220200112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1537837 + ... + 5177387.

Almost surely, 212220200112212 is an apocalyptic number.

12220200112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220200112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412297696256).

12220200112212 is an abundant number, since it is smaller than the sum of its proper divisors (20604395280300).

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

12220200112212 is a wasteful number, since it uses less digits than its factorization.

12220200112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639851 (or 3639840 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220200112212 its reverse (21221100202221), we get a palindrome (33441300314433).

Subtracting 12220200112212 from its reverse (21221100202221), we obtain a palindrome (9000900090009).

The spelling of 12220200112212 in words is "twelve trillion, two hundred twenty billion, two hundred million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 241 258 324 387 482 516 723 774 964 1161 1446 1548 2169 2322 2892 3483 4338 4644 6507 6966 8676 10363 13014 13932 19521 20726 26028 31089 39042 41452 62178 78084 93267 124356 186534 279801 373068 559602 839403 1119204 1678806 3357612 3639551 7279102 10918653 14558204 21837306 32755959 43674612 65511918 98267877 131023836 156500693 196535754 294803631 313001386 393071508 469502079 589607262 626002772 877131791 939004158 1179214524 1408506237 1754263582 1878008316 2631395373 2817012474 3508527164 4225518711 5262790746 5634024948 7894186119 8451037422 10525581492 12676556133 15788372238 16902074844 23682558357 25353112266 31576744476 37716667013 47365116714 50706224532 71047675071 75433334026 94730233428 113150001039 142095350142 150866668052 226300002078 284190700284 339450003117 452600004156 678900006234 1018350009351 1357800012468 2036700018702 3055050028053 4073400037404 6110100056106 12220200112212