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20122010212200 = 23352132579744899
BaseRepresentation
bin1001001001101000001010…
…10001010101011101101000
32122020122102111012110212220
410210310011101111131220
510114134334103242300
6110443531320234040
74144524112511151
oct444640521253550
978218374173786
1020122010212200
116458773204356
12230b94460b920
13b2c660aac780
144d7ca655a928
1524d646569da0
hex124d05455768

20122010212200 has 96 divisors (see below), whose sum is σ = 67176557196000. Its totient is φ = 4953110204160.

The previous prime is 20122010212177. The next prime is 20122010212229. The reversal of 20122010212200 is 221201022102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20122010212200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289864650 + ... + 1289880249.

It is an arithmetic number, because the mean of its divisors is an integer number (699755804125).

Almost surely, 220122010212200 is an apocalyptic number.

20122010212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122010212200 is an abundant number, since it is smaller than the sum of its proper divisors (47054546983800).

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

20122010212200 is a wasteful number, since it uses less digits than its factorization.

20122010212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579744931 (or 2579744922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20122010212200 its reverse (221201022102), we get a palindrome (20343211234302).

The spelling of 20122010212200 in words is "twenty trillion, one hundred twenty-two billion, ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 2579744899 5159489798 7739234697 10318979596 12898724495 15478469394 20637959192 25797448990 30956938788 33536683687 38696173485 51594897980 61913877576 64493622475 67073367374 77392346970 100610051061 103189795960 128987244950 134146734748 154784693940 167683418435 193480867425 201220102122 257974489900 268293469496 309569387880 335366836870 386961734850 402440204244 503050255305 515948979800 670733673740 773923469700 804880408488 838417092175 1006100510610 1341467347480 1547846939400 1676834184350 2012201021220 2515251276525 3353668368700 4024402042440 5030502553050 6707336737400 10061005106100 20122010212200