Search a number
-
+
20122011120000 = 2735483841713
BaseRepresentation
bin1001001001101000001010…
…10100110011000110000000
32122020122102112220121011010
410210310011110303012000
510114134334321320000
6110443531351520520
74144524123311616
oct444640524630600
978218375817133
1020122011120000
1164587737743a9
12230b944989140
13b2c661039a2a
144d7ca67156b6
1524d646698d50
hex124d05533180

20122011120000 has 160 divisors (see below), whose sum is σ = 66789986206680. Its totient is φ = 5365869568000.

The previous prime is 20122011119989. The next prime is 20122011120187. The reversal of 20122011120000 is 2111022102.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 41680857 + ... + 42160856.

Almost surely, 220122011120000 is an apocalyptic number.

20122011120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122011120000 is an abundant number, since it is smaller than the sum of its proper divisors (46667975086680).

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

20122011120000 is an frugal number, since it uses more digits than its factorization.

20122011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83841750 (or 83841723 counting only the distinct ones).

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

Adding to 20122011120000 its reverse (2111022102), we get a palindrome (20124122142102).

The spelling of 20122011120000 in words is "twenty trillion, one hundred twenty-two billion, eleven million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 83841713 167683426 251525139 335366852 419208565 503050278 670733704 838417130 1006100556 1257625695 1341467408 1676834260 2012201112 2096042825 2515251390 2682934816 3353668520 4024402224 4192085650 5030502780 5365869632 6288128475 6707337040 8048804448 8384171300 10061005560 10480214125 10731739264 12576256950 13414674080 16097608896 16768342600 20122011120 20960428250 25152513900 26829348160 31440642375 32195217792 33536685200 40244022240 41920856500 50305027800 52401070625 53658696320 62881284750 67073370400 80488044480 83841713000 100610055600 104802141250 125762569500 134146740800 157203211875 160976088960 167683426000 201220111200 209604282500 251525139000 268293481600 314406423750 335366852000 402440222400 419208565000 503050278000 628812847500 670733704000 804880444800 838417130000 1006100556000 1257625695000 1341467408000 1676834260000 2012201112000 2515251390000 3353668520000 4024402224000 5030502780000 6707337040000 10061005560000 20122011120000