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12102022120100 = 225211104871049093
BaseRepresentation
bin1011000000011011100010…
…1110101100001010100100
31120211221102201200210100012
42300012320232230022210
53041234420130320400
641423331530105352
72356225250511623
oct260067056541244
946757381623305
1012102022120100
113946490a95740
12143555287b258
1369a2a611caa3
142dba534156ba
1515ec0493bd35
hexb01b8bac2a4

12102022120100 has 72 divisors (see below), whose sum is σ = 28651546058688. Its totient is φ = 4400311484800.

The previous prime is 12102022120093. The next prime is 12102022120117. The reversal of 12102022120100 is 102122020121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11011154 + ... + 12060246.

It is an arithmetic number, because the mean of its divisors is an integer number (397938139704).

Almost surely, 212102022120100 is an apocalyptic number.

12102022120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102022120100 is an abundant number, since it is smaller than the sum of its proper divisors (16549523938588).

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

12102022120100 is a wasteful number, since it uses less digits than its factorization.

12102022120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059605 (or 1059598 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12102022120100 its reverse (102122020121), we get a palindrome (12204144140221).

The spelling of 12102022120100 in words is "twelve trillion, one hundred two billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 10487 20974 41948 52435 104870 115357 209740 230714 262175 461428 524350 576785 1048700 1049093 1153570 2098186 2307140 2883925 4196372 5245465 5767850 10490930 11535700 11540023 20981860 23080046 26227325 46160092 52454650 57700115 104909300 115400230 230800460 288500575 577001150 1154002300 11001838291 22003676582 44007353164 55009191455 110018382910 121020221201 220036765820 242040442402 275045957275 484080884804 550091914550 605101106005 1100183829100 1210202212010 2420404424020 3025505530025 6051011060050 12102022120100