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12201100022100 = 223521110243360959
BaseRepresentation
bin1011000110001100101000…
…1110111001000101010100
31121012102011122020200221010
42301203022032321011110
53044400323101201400
641541035153252220
72366333430004023
oct261431216710524
947172148220833
1012201100022100
113984503975980
1214507a3864070
136a67358997c2
14302771c068ba
151625a2c32450
hexb18ca3b9154

12201100022100 has 144 divisors (see below), whose sum is σ = 38514974883840. Its totient is φ = 2957545468800.

The previous prime is 12201100022077. The next prime is 12201100022107. The reversal of 12201100022100 is 122000110221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201100022107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33621421 + ... + 33982379.

It is an arithmetic number, because the mean of its divisors is an integer number (267465103360).

Almost surely, 212201100022100 is an apocalyptic number.

12201100022100 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 12201100022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257487441920).

12201100022100 is an abundant number, since it is smaller than the sum of its proper divisors (26313874861740).

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

12201100022100 is a wasteful number, since it uses less digits than its factorization.

12201100022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371230 (or 371223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201100022100 its reverse (122000110221), we get a palindrome (12323100132321).

The spelling of 12201100022100 in words is "twelve trillion, two hundred one billion, one hundred million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 10243 20486 30729 40972 51215 61458 102430 112673 122916 153645 204860 225346 256075 307290 338019 360959 450692 512150 563365 614580 676038 721918 768225 1024300 1082877 1126730 1352076 1443836 1536450 1690095 1804795 2165754 2253460 2816825 3072900 3380190 3609590 3970549 4331508 5414385 5633650 6760380 7219180 7941098 8450475 9023975 10828770 11267300 11911647 15882196 16900950 18047950 19852745 21657540 23823294 27071925 33801900 36095900 39705490 47646588 54143850 59558235 79410980 99263725 108287700 119116470 198527450 238232940 297791175 397054900 595582350 1191164700 3697303037 7394606074 11091909111 14789212148 18486515185 22183818222 36973030370 40670333407 44367636444 55459545555 73946060740 81340666814 92432575925 110919091110 122011000221 162681333628 184865151850 203351667035 221838182220 244022000442 277297727775 369730303700 406703334070 488044000884 554595455550 610055001105 813406668140 1016758335175 1109190911100 1220110002210 2033516670350 2440220004420 3050275005525 4067033340700 6100550011050 12201100022100