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12011212210100 = 2252251743644057
BaseRepresentation
bin1010111011001001010000…
…0010010111111110110100
31120112021001000211101120012
42232302110002113332310
53033242430311210400
641313512534355352
72346532015145465
oct256622402277664
946467030741505
1012011212210100
113910a21185244
12141ba2a7bbb58
1369186358802c
142d74bab2cd6c
1515c68c42bd35
hexaec94097fb4

12011212210100 has 72 divisors (see below), whose sum is σ = 26203432747968. Its totient is φ = 4778895520000.

The previous prime is 12011212210051. The next prime is 12011212210103. The reversal of 12011212210100 is 101221211021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011212210103) 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 23 ways as a sum of consecutive naturals, for example, 18327272 + ... + 18971328.

It is an arithmetic number, because the mean of its divisors is an integer number (363936565944).

Almost surely, 212011212210100 is an apocalyptic number.

12011212210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011212210100 is an abundant number, since it is smaller than the sum of its proper divisors (14192220537868).

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

12011212210100 is a wasteful number, since it uses less digits than its factorization.

12011212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645065 (or 645058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12011212210100 its reverse (101221211021), we get a palindrome (12112433421121).

The spelling of 12011212210100 in words is "twelve trillion, eleven billion, two hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 502 743 1004 1255 1486 2510 2972 3715 5020 6275 7430 12550 14860 18575 25100 37150 74300 186493 372986 644057 745972 932465 1288114 1864930 2576228 3220285 3729860 4662325 6440570 9324650 12881140 16101425 18649300 32202850 64405700 161658307 323316614 478534351 646633228 808291535 957068702 1616583070 1914137404 2392671755 3233166140 4041457675 4785343510 8082915350 9570687020 11963358775 16165830700 23926717550 47853435100 120112122101 240224244202 480448488404 600560610505 1201121221010 2402242442020 3002803052525 6005606105050 12011212210100