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12022201211100 = 2235269203579079
BaseRepresentation
bin1010111011110010001100…
…0010000101100011011100
31120120022101212120111000020
42232330203002011203130
53033432432002223400
641322531211032140
72350401232131333
oct256744302054334
946508355514006
1012022201211100
113915650190353
121421b96a3b650
136928c51311a2
142d7c40378d1a
1515cad20472a0
hexaef230858dc

12022201211100 has 72 divisors (see below), whose sum is σ = 34784798213760. Its totient is φ = 3205868460480.

The previous prime is 12022201211089. The next prime is 12022201211101. The reversal of 12022201211100 is 111210222021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022201211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022201211101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20471361 + ... + 21050439.

Almost surely, 212022201211100 is an apocalyptic number.

12022201211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022201211100 is an abundant number, since it is smaller than the sum of its proper divisors (22762597002660).

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

12022201211100 is a wasteful number, since it uses less digits than its factorization.

12022201211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648299 (or 648292 counting only the distinct ones).

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

Adding to 12022201211100 its reverse (111210222021), we get a palindrome (12133411433121).

The spelling of 12022201211100 in words is "twelve trillion, twenty-two billion, two hundred one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 69203 138406 207609 276812 346015 415218 579079 692030 830436 1038045 1158158 1384060 1730075 1737237 2076090 2316316 2895395 3460150 3474474 4152180 5190225 5790790 6920300 6948948 8686185 10380450 11581580 14476975 17372370 20760900 28953950 34744740 43430925 57907900 86861850 173723700 40074004037 80148008074 120222012111 160296016148 200370020185 240444024222 400740040370 480888048444 601110060555 801480080740 1001850100925 1202220121110 2003700201850 2404440242220 3005550302775 4007400403700 6011100605550 12022201211100