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12212102220200 = 23521671971855999
BaseRepresentation
bin1011000110110101101000…
…0000111100100110101000
31121020110120101211021101122
42301231122000330212220
53100040341132021300
641550055020434412
72400203164103231
oct261553200744650
947213511737348
1012212102220200
11398913a375183
1214529543a8a08
136a779a0b37ac
143030d70ca088
151629e8aa7c85
hexb1b5a03c9a8

12212102220200 has 96 divisors (see below), whose sum is σ = 28708162560000. Its totient is φ = 4830940074240.

The previous prime is 12212102220173. The next prime is 12212102220211. The reversal of 12212102220200 is 202220121221.

It is a happy number.

It is a super-2 number, since 2×122121022202002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5651801 + ... + 7507799.

It is an arithmetic number, because the mean of its divisors is an integer number (299043360000).

Almost surely, 212212102220200 is an apocalyptic number.

12212102220200 is a gapful number since it is divisible by the number (10) 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 12212102220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14354081280000).

12212102220200 is an abundant number, since it is smaller than the sum of its proper divisors (16496060339800).

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

12212102220200 is a wasteful number, since it uses less digits than its factorization.

12212102220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856379 (or 1856370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12212102220200 its reverse (202220121221), we get a palindrome (12414322341421).

The spelling of 12212102220200 in words is "twelve trillion, two hundred twelve billion, one hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 197 200 334 394 668 788 835 985 1336 1576 1670 1970 3340 3940 4175 4925 6680 7880 8350 9850 16700 19700 32899 33400 39400 65798 131596 164495 263192 328990 657980 822475 1315960 1644950 1855999 3289900 3711998 6579800 7423996 9279995 14847992 18559990 37119980 46399975 74239960 92799950 185599900 309951833 365631803 371199800 619903666 731263606 1239807332 1462527212 1549759165 1828159015 2479614664 2925054424 3099518330 3656318030 6199036660 7312636060 7748795825 9140795075 12398073320 14625272120 15497591650 18281590150 30995183300 36563180300 61060511101 61990366600 73126360600 122121022202 244242044404 305302555505 488484088808 610605111010 1221210222020 1526512777525 2442420444040 3053025555050 6106051110100 12212102220200