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12212111201000 = 2353311221132261
BaseRepresentation
bin1011000110110101101010…
…0011001101001011101000
31121020110121000201112201212
42301231122203031023220
53100040400431413000
641550055541132252
72400203333326304
oct261553243151350
947213530645655
1012212111201000
113989144449627
1214529573ba088
136a779bc09489
143030d8386d04
151629e977dc35
hexb1b5a8cd2e8

12212111201000 has 128 divisors (see below), whose sum is σ = 29501487774720. Its totient is φ = 4726735200000.

The previous prime is 12212111200999. The next prime is 12212111201023. The reversal of 12212111201000 is 10211121221.

12212111201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 378524870 + ... + 378557130.

It is an arithmetic number, because the mean of its divisors is an integer number (230480373240).

Almost surely, 212212111201000 is an apocalyptic number.

12212111201000 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 12212111201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750743887360).

12212111201000 is an abundant number, since it is smaller than the sum of its proper divisors (17289376573720).

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

12212111201000 is a wasteful number, since it uses less digits than its factorization.

12212111201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44524 (or 44510 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12212111201000 its reverse (10211121221), we get a palindrome (12222322322221).

The spelling of 12212111201000 in words is "twelve trillion, two hundred twelve billion, one hundred eleven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 12211 15500 24422 31000 32261 48844 61055 64522 97688 122110 129044 161305 244220 258088 305275 322610 378541 488440 610550 645220 757082 806525 1000091 1221100 1290440 1514164 1526375 1613050 1892705 2000182 2442200 3028328 3052750 3226100 3785410 4000364 4032625 5000455 6105500 6452200 7570820 8000728 8065250 9463525 10000910 12211000 15141640 16130500 18927050 20001820 25002275 32261000 37854100 40003640 47317625 50004550 75708200 94635250 100009100 125011375 189270500 200018200 250022750 378541000 393939071 500045500 787878142 1000091000 1575756284 1969695355 3151512568 3939390710 7878781420 9848476775 12212111201 15757562840 19696953550 24424222402 39393907100 48848444804 49242383875 61060556005 78787814200 97696889608 98484767750 122121112010 196969535500 244242224020 305302780025 393939071000 488484448040 610605560050 1221211120100 1526513900125 2442422240200 3053027800250 6106055600500 12212111201000