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20121011201100 = 22352478317193037
BaseRepresentation
bin1001001001100110010011…
…01110011010010001001100
32122020112211212101110021210
410210303021232122101030
510114130312331413400
6110443244232054420
74144460262166305
oct444631156322114
978215755343253
1020121011201100
1164583002a6547
12230b705b34410
13b2c531b2a744
144d7c0d9c97ac
1524d5d89d1950
hex124cc9b9a44c

20121011201100 has 144 divisors (see below), whose sum is σ = 60171781759488. Its totient is φ = 5188170543360.

The previous prime is 20121011201087. The next prime is 20121011201141. The reversal of 20121011201100 is 110211012102.

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

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, 7426219 + ... + 9766818.

It is an arithmetic number, because the mean of its divisors is an integer number (417859595552).

Almost surely, 220121011201100 is an apocalyptic number.

20121011201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121011201100 is an abundant number, since it is smaller than the sum of its proper divisors (40050770558388).

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

20121011201100 is a wasteful number, since it uses less digits than its factorization.

20121011201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17193184 (or 17193177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20121011201100 its reverse (110211012102), we get a palindrome (20231222213202).

The spelling of 20121011201100 in words is "twenty trillion, one hundred twenty-one billion, eleven million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 83 94 100 141 150 166 188 235 249 282 300 332 415 470 498 564 705 830 940 996 1175 1245 1410 1660 2075 2350 2490 2820 3525 3901 4150 4700 4980 6225 7050 7802 8300 11703 12450 14100 15604 19505 23406 24900 39010 46812 58515 78020 97525 117030 195050 234060 292575 390100 585150 1170300 17193037 34386074 51579111 68772148 85965185 103158222 171930370 206316444 257895555 343860740 429825925 515791110 808072739 859651850 1031582220 1289477775 1427022071 1616145478 1719303700 2424218217 2578955550 2854044142 3232290956 4040363695 4281066213 4848436434 5157911100 5708088284 7135110355 8080727390 8562132426 9696872868 12121091085 14270220710 16161454780 17124264852 20201818475 21405331065 24242182170 28540441420 35675551775 40403636950 42810662130 48484364340 60605455425 67070037337 71351103550 80807273900 85621324260 107026655325 121210910850 134140074674 142702207100 201210112011 214053310650 242421821700 268280149348 335350186685 402420224022 428106621300 670700373370 804840448044 1006050560055 1341400746740 1676750933425 2012101120110 3353501866850 4024202240220 5030252800275 6707003733700 10060505600550 20121011201100