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12101202221000 = 2353233891352543
BaseRepresentation
bin1011000000011000011111…
…0111000001011111001000
31120211212022120220121012212
42300012013313001133020
53041231230232033000
641423114320524252
72356166033466344
oct260060767013710
946755276817185
1012101202221000
1139461001a3382
121435364180688
1369a1a52c06a9
142db9b658a624
1515eba7983c35
hexb0187dc17c8

12101202221000 has 128 divisors (see below), whose sum is σ = 29623959705600. Its totient is φ = 4618119404800.

The previous prime is 12101202220997. The next prime is 12101202221071. The reversal of 12101202221000 is 12220210121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8270729 + ... + 9623271.

It is an arithmetic number, because the mean of its divisors is an integer number (231437185200).

Almost surely, 212101202221000 is an apocalyptic number.

12101202221000 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 12101202221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811979852800).

12101202221000 is an abundant number, since it is smaller than the sum of its proper divisors (17522757484600).

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

12101202221000 is a wasteful number, since it uses less digits than its factorization.

12101202221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352976 (or 1352962 counting only the distinct ones).

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

Adding to 12101202221000 its reverse (12220210121), we get a palindrome (12113422431121).

The spelling of 12101202221000 in words is "twelve trillion, one hundred one billion, two hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 389 460 500 575 778 920 1000 1150 1556 1945 2300 2875 3112 3890 4600 5750 7780 8947 9725 11500 15560 17894 19450 23000 35788 38900 44735 48625 71576 77800 89470 97250 178940 194500 223675 357880 389000 447350 894700 1118375 1352543 1789400 2236750 2705086 4473500 5410172 6762715 8947000 10820344 13525430 27050860 31108489 33813575 54101720 62216978 67627150 124433956 135254300 155542445 169067875 248867912 270508600 311084890 338135750 526139227 622169780 676271500 777712225 1052278454 1244339560 1352543000 1555424450 2104556908 2630696135 3110848900 3888561125 4209113816 5261392270 6221697800 7777122250 10522784540 12101202221 13153480675 15554244500 21045569080 24202404442 26306961350 31108489000 48404808884 52613922700 60506011105 65767403375 96809617768 105227845400 121012022210 131534806750 242024044420 263069613500 302530055525 484048088840 526139227000 605060111050 1210120222100 1512650277625 2420240444200 3025300555250 6050601110500 12101202221000