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12021131100 = 223521110136067
BaseRepresentation
bin10110011001000001…
…11110011101011100
31011000202212201202210
423030200332131130
5144104402143400
65304502320420
7603615633306
oct131440763534
934022781683
1012021131100
1151096847a0
1223b5a29110
131197652a34
1482075c976
154a5546950
hex2cc83e75c

12021131100 has 144 divisors (see below), whose sum is σ = 38319797376. Its totient is φ = 2885280000.

The previous prime is 12021131081. The next prime is 12021131119. The reversal of 12021131100 is 113112021.

It is an interprime number because it is at equal distance from previous prime (12021131081) and next prime (12021131119).

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

It is a congruent number.

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, 315267 + ... + 351333.

It is an arithmetic number, because the mean of its divisors is an integer number (266109704).

Almost surely, 212021131100 is an apocalyptic number.

12021131100 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 12021131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19159898688).

12021131100 is an abundant number, since it is smaller than the sum of its proper divisors (26298666276).

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

12021131100 is a wasteful number, since it uses less digits than its factorization.

12021131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36196 (or 36189 counting only the distinct ones).

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

Adding to 12021131100 its reverse (113112021), we get a palindrome (12134243121).

The spelling of 12021131100 in words is "twelve billion, twenty-one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 36067 55550 66660 72134 83325 108201 111100 144268 166650 180335 216402 333300 360670 396737 432804 541005 721340 793474 901675 1082010 1190211 1586948 1803350 1983685 2164020 2380422 2705025 3606700 3642767 3967370 4760844 5410050 5951055 7285534 7934740 9918425 10820100 10928301 11902110 14571068 18213835 19836850 21856602 23804220 29755275 36427670 39673700 40070437 43713204 54641505 59510550 72855340 80140874 91069175 109283010 119021100 120211311 160281748 182138350 200352185 218566020 240422622 273207525 364276700 400704370 480845244 546415050 601056555 801408740 1001760925 1092830100 1202113110 2003521850 2404226220 3005282775 4007043700 6010565550 12021131100