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20201202212000 = 255318127902213
BaseRepresentation
bin1001001011111011101010…
…11110110101110010100000
32122112012211111220212222112
410211331311132311302200
510121434030231241000
6110544145411454452
74153326423426065
oct445756536656240
978465744825875
1020201202212000
116489311005977
1223231658b7428
13b36c716c0154
144dba59c86c6c
1525072db31235
hex125f757b5ca0

20201202212000 has 96 divisors (see below), whose sum is σ = 49908578572944. Its totient is φ = 8035837056000.

The previous prime is 20201202211999. The next prime is 20201202212027. The reversal of 20201202212000 is 21220210202.

It can be written as a sum of positive squares in 8 ways, for example, as 508659945616 + 19692542266384 = 713204^2 + 4437628^2 .

It is a super-2 number, since 2×202012022120002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13227107 + ... + 14675106.

Almost surely, 220201202212000 is an apocalyptic number.

20201202212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201202212000 is an abundant number, since it is smaller than the sum of its proper divisors (29707376360944).

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

20201202212000 is a wasteful number, since it uses less digits than its factorization.

20201202212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27902419 (or 27902401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20201202212000 its reverse (21220210202), we get a palindrome (20222422422202).

The spelling of 20201202212000 in words is "twenty trillion, two hundred one billion, two hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 181 200 250 362 400 500 724 800 905 1000 1448 1810 2000 2896 3620 4000 4525 5792 7240 9050 14480 18100 22625 28960 36200 45250 72400 90500 144800 181000 362000 724000 27902213 55804426 111608852 139511065 223217704 279022130 446435408 558044260 697555325 892870816 1116088520 1395110650 2232177040 2790221300 3487776625 4464354080 5050300553 5580442600 6975553250 10100601106 11160885200 13951106500 20201202212 22321770400 25251502765 27902213000 40402404424 50503005530 55804426000 80804808848 101006011060 111608852000 126257513825 161609617696 202012022120 252515027650 404024044240 505030055300 631287569125 808048088480 1010060110600 1262575138250 2020120221200 2525150276500 4040240442400 5050300553000 10100601106000 20201202212000