Search a number
-
+
20121111202000 = 245361859191999
BaseRepresentation
bin1001001001100110011111…
…01011111000100011010000
32122020120002211120000201211
410210303033223320203100
510114131013431431000
6110443302203305504
74144462615164154
oct444631753704320
978216084500654
1020121111202000
116458351798716
12230b73351b294
13b2c549771783
144d7c1cdbb064
1524d5e26867ba
hex124ccfaf88d0

20121111202000 has 160 divisors (see below), whose sum is σ = 49508259840000. Its totient is φ = 7907245632000.

The previous prime is 20121111201943. The next prime is 20121111202009. The reversal of 20121111202000 is 20211112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121111202009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104702001 + ... + 104893999.

It is an arithmetic number, because the mean of its divisors is an integer number (309426624000).

Almost surely, 220121111202000 is an apocalyptic number.

20121111202000 is a gapful number since it is divisible by the number (20) 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 20121111202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24754129920000).

20121111202000 is an abundant number, since it is smaller than the sum of its proper divisors (29387148638000).

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

20121111202000 is a wasteful number, since it uses less digits than its factorization.

20121111202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192942 (or 192926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20121111202000 its reverse (20211112102), we get a palindrome (20141322314102).

The spelling of 20121111202000 in words is "twenty trillion, one hundred twenty-one billion, one hundred eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 859 976 1000 1220 1525 1718 2000 2440 3050 3436 4295 4880 6100 6872 7625 8590 12200 13744 15250 17180 21475 24400 30500 34360 42950 52399 61000 68720 85900 104798 107375 122000 171800 191999 209596 214750 261995 343600 383998 419192 429500 523990 767996 838384 859000 959995 1047980 1309975 1535992 1718000 1919990 2095960 2619950 3071984 3839980 4191920 4799975 5239900 6549875 7679960 9599950 10479800 11711939 13099750 15359920 19199900 20959600 23423878 23999875 26199500 38399800 46847756 47999750 52399000 58559695 76799600 93695512 95999500 104798000 117119390 164927141 187391024 191999000 234238780 292798475 329854282 383998000 468477560 585596950 659708564 824635705 936955120 1171193900 1319417128 1463992375 1649271410 2342387800 2638834256 2927984750 3298542820 4123178525 4684775600 5855969500 6597085640 8246357050 10060555601 11711939000 13194171280 16492714100 20121111202 20615892625 23423878000 32985428200 40242222404 41231785250 50302778005 65970856400 80484444808 82463570500 100605556010 160968889616 164927141000 201211112020 251513890025 329854282000 402422224040 503027780050 804844448080 1006055560100 1257569450125 2012111120200 2515138900250 4024222240400 5030277800500 10060555601000 20121111202000