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12001021222100 = 2252192743447427
BaseRepresentation
bin1010111010100011010010…
…0110110101110011010100
31120111021201210200120011012
42232220310212311303110
53033111042413101400
641305105410231352
72346021331162301
oct256506446656324
946437653616135
1012001021222100
113907671683109
121419a65885558
136908cb14a511
142d6bd14920a8
1515c2928e4d35
hexaea349b5cd4

12001021222100 has 108 divisors (see below), whose sum is σ = 27522051538464. Its totient is φ = 4541624458560.

The previous prime is 12001021222079. The next prime is 12001021222109. The reversal of 12001021222100 is 122212010021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001021222109) 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 35 ways as a sum of consecutive naturals, for example, 26598587 + ... + 27046013.

Almost surely, 212001021222100 is an apocalyptic number.

12001021222100 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 12001021222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13761025769232).

12001021222100 is an abundant number, since it is smaller than the sum of its proper divisors (15521030316364).

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

12001021222100 is a wasteful number, since it uses less digits than its factorization.

12001021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448222 (or 448196 counting only the distinct ones).

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

Adding to 12001021222100 its reverse (122212010021), we get a palindrome (12123233232121).

The spelling of 12001021222100 in words is "twelve trillion, one billion, twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 743 950 1444 1486 1805 1900 2972 3610 3715 7220 7430 9025 14117 14860 18050 18575 28234 36100 37150 56468 70585 74300 141170 268223 282340 352925 447427 536446 705850 894854 1072892 1341115 1411700 1789708 2237135 2682230 4474270 5364460 6705575 8501113 8948540 11185675 13411150 17002226 22371350 26822300 34004452 42505565 44742700 85011130 161521147 170022260 212527825 323042294 332438261 425055650 646084588 664876522 807605735 850111300 1329753044 1615211470 1662191305 3230422940 3324382610 4038028675 6316326959 6648765220 8076057350 8310956525 12632653918 16152114700 16621913050 25265307836 31581634795 33243826100 63163269590 120010212221 126326539180 157908173975 240020424442 315816347950 480040848884 600051061105 631632695900 1200102122210 2400204244420 3000255305525 6000510611050 12001021222100