Search a number
-
+
12201211100100 = 22352116160612077
BaseRepresentation
bin1011000110001101000011…
…0110100111101111000100
31121012102110101021001022010
42301203100312213233010
53044401040020200400
641541054202134220
72366336246105421
oct261432066475704
947172411231263
1012201211100100
113984560643480
121450814ab1370
136a67528bb729
1430278287cd48
151625ac874450
hexb18d0da7bc4

12201211100100 has 144 divisors (see below), whose sum is σ = 39142795075776. Its totient is φ = 2909379648000.

The previous prime is 12201211100087. The next prime is 12201211100137. The reversal of 12201211100100 is 100111210221.

12201211100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30104739 + ... + 30507338.

It is an arithmetic number, because the mean of its divisors is an integer number (271824965804).

Almost surely, 212201211100100 is an apocalyptic number.

12201211100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201211100100 is an abundant number, since it is smaller than the sum of its proper divisors (26941583975676).

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

12201211100100 is a wasteful number, since it uses less digits than its factorization.

12201211100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60612166 (or 60612159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12201211100100 its reverse (100111210221), we get a palindrome (12301322310321).

The spelling of 12201211100100 in words is "twelve trillion, two hundred one billion, two hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 61 66 75 100 110 122 132 150 165 183 220 244 275 300 305 330 366 550 610 660 671 732 825 915 1100 1220 1342 1525 1650 1830 2013 2684 3050 3300 3355 3660 4026 4575 6100 6710 8052 9150 10065 13420 16775 18300 20130 33550 40260 50325 67100 100650 201300 60612077 121224154 181836231 242448308 303060385 363672462 606120770 666732847 727344924 909181155 1212241540 1333465694 1515301925 1818362310 2000198541 2666931388 3030603850 3333664235 3636724620 3697336697 4000397082 4545905775 6061207700 6667328470 7394673394 8000794164 9091811550 10000992705 11092010091 13334656940 14789346788 16668321175 18183623100 18486683485 20001985410 22184020182 33336642350 36973366970 40003970820 40670703667 44368040364 50004963525 55460050455 66673284700 73946733940 81341407334 92433417425 100009927050 110920100910 122012111001 162682814668 184866834850 200019854100 203353518335 221840201820 244024222002 277300252275 369733669700 406707036670 488048444004 554600504550 610060555005 813414073340 1016767591675 1109201009100 1220121110010 2033535183350 2440242220020 3050302775025 4067070366700 6100605550050 12201211100100