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20121120220201 = 71113194125803619
BaseRepresentation
bin1001001001100110100000…
…01110010010010000101001
32122020120010110112012101021
410210303100032102100221
510114131023234021301
6110443303124452441
74144463054634250
oct444632016222051
978216113465337
1020121120220201
116458356898180
12230b73654a121
13b2c54b5ab4a0
144d7c20287797
1524d5e33688a1
hex124cd0392429

20121120220201 has 64 divisors (see below), whose sum is σ = 29131254835200. Its totient is φ = 13376595571200.

The previous prime is 20121120220177. The next prime is 20121120220213. The reversal of 20121120220201 is 10202202112102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20121120220201 - 219 = 20121119695913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121120220261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12122031 + ... + 13681588.

It is an arithmetic number, because the mean of its divisors is an integer number (455175856800).

Almost surely, 220121120220201 is an apocalyptic number.

It is an amenable number.

20121120220201 is a deficient number, since it is larger than the sum of its proper divisors (9010134614999).

20121120220201 is a wasteful number, since it uses less digits than its factorization.

20121120220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25803710.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20121120220201 its reverse (10202202112102), we get a palindrome (30323322332303).

The spelling of 20121120220201 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty thousand, two hundred one".

Divisors: 1 7 11 13 19 41 77 91 133 143 209 247 287 451 533 779 1001 1463 1729 2717 3157 3731 5453 5863 8569 10127 19019 41041 59983 70889 111397 779779 25803619 180625333 283839809 335447047 490268761 1057948379 1986878663 2348129329 3431881327 3689917517 5392956371 6373493893 7405638653 11637432169 13753328927 20101019201 25829422619 37750694597 44614457251 70108432823 81462025183 96273302489 140707134407 151286618197 221111211211 261313249613 490759029761 1059006327379 1547778478477 1829192747291 2874445745743 20121120220201