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20001121220120 = 2351762801468359
BaseRepresentation
bin1001000110000110111111…
…01110011011011000011000
32121211002101112020101111212
410203003133232123120120
510110144244013020440
6110312215505442252
74133014300155125
oct443033756333030
977732345211455
1020001121220120
116411478556337
1222b0427040388
13b211366842b1
144d20b912174c
1524a41d50e465
hex1230dfb9b618

20001121220120 has 64 divisors (see below), whose sum is σ = 47650590446400. Its totient is φ = 7529697894400.

The previous prime is 20001121220099. The next prime is 20001121220123. The reversal of 20001121220120 is 2102212110002.

It is a junction number, because it is equal to n+sod(n) for n = 20001121220095 and 20001121220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001121220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42470501 + ... + 42938859.

It is an arithmetic number, because the mean of its divisors is an integer number (744540475725).

Almost surely, 220001121220120 is an apocalyptic number.

20001121220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001121220120 is an abundant number, since it is smaller than the sum of its proper divisors (27649469226280).

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

20001121220120 is a wasteful number, since it uses less digits than its factorization.

20001121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531188 (or 531184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20001121220120 its reverse (2102212110002), we get a palindrome (22103333330122).

The spelling of 20001121220120 in words is "twenty trillion, one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 62801 125602 251204 314005 468359 502408 628010 936718 1067617 1256020 1873436 2135234 2341795 2512040 3746872 4270468 4683590 5338085 7962103 8540936 9367180 10676170 15924206 18734360 21352340 31848412 39810515 42704680 63696824 79621030 159242060 318484120 29413413559 58826827118 117653654236 147067067795 235307308472 294134135590 500028030503 588268271180 1000056061006 1176536542360 2000112122012 2500140152515 4000224244024 5000280305030 10000560610060 20001121220120