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12132211300 = 225211591311427
BaseRepresentation
bin10110100110010001…
…01101101001100100
31011022111220012011021
423103020231221210
5144321321230200
65323511220524
7606435044266
oct132310555144
934274805137
1012132211300
115166353a10
122427077744
1311b4675971
148313d5b36
154b018941a
hex2d322da64

12132211300 has 144 divisors (see below), whose sum is σ = 29450615040. Its totient is φ = 4300816000.

The previous prime is 12132211283. The next prime is 12132211337. The reversal of 12132211300 is 311223121.

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, 8501187 + ... + 8502613.

It is an arithmetic number, because the mean of its divisors is an integer number (204518160).

Almost surely, 212132211300 is an apocalyptic number.

12132211300 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 12132211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725307520).

12132211300 is an abundant number, since it is smaller than the sum of its proper divisors (17318403740).

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

12132211300 is a wasteful number, since it uses less digits than its factorization.

12132211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12132211300 its reverse (311223121), we get a palindrome (12443434421).

The spelling of 12132211300 in words is "twelve billion, one hundred thirty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 131 220 236 262 275 295 524 550 590 649 655 1100 1180 1298 1310 1427 1441 1475 2596 2620 2854 2882 2950 3245 3275 5708 5764 5900 6490 6550 7135 7205 7729 12980 13100 14270 14410 15458 15697 16225 28540 28820 30916 31394 32450 35675 36025 38645 62788 64900 71350 72050 77290 78485 84193 85019 142700 144100 154580 156970 168386 170038 186937 193225 313940 336772 340076 373874 386450 392425 420965 425095 747748 772900 784850 841930 850190 926123 934685 1569700 1683860 1700380 1852246 1869370 2056307 2104825 2125475 3704492 3738740 4112614 4209650 4250950 4630615 4673425 8225228 8419300 8501900 9261230 9346850 10281535 11029283 18522460 18693700 20563070 22058566 23153075 41126140 44117132 46306150 51407675 55146415 92612300 102815350 110292830 121322113 205630700 220585660 242644226 275732075 485288452 551464150 606610565 1102928300 1213221130 2426442260 3033052825 6066105650 12132211300