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220201200212120 = 235151316311526131
BaseRepresentation
bin110010000100010110010110…
…010100010101100010011000
31001212200000210020210100020022
4302010112112110111202120
5212330234024223241440
62100155011310250012
764245004006044221
oct6204262624254230
91055600706710208
10220201200212120
1164187893982726
12208445744b6908
1395b3b6542b96a
143c53b1b50a248
151a6ce12927cb5
hexc84596515898

220201200212120 has 64 divisors (see below), whose sum is σ = 498891564944640. Its totient is φ = 87469495344000.

The previous prime is 220201200212087. The next prime is 220201200212153. The reversal of 220201200212120 is 21212002102022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220201200212087) and next prime (220201200212153).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13341455 + ... + 24867585.

It is an arithmetic number, because the mean of its divisors is an integer number (7795180702260).

Almost surely, 2220201200212120 is an apocalyptic number.

220201200212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201200212120 is an abundant number, since it is smaller than the sum of its proper divisors (278690364732520).

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

220201200212120 is a wasteful number, since it uses less digits than its factorization.

220201200212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529456 (or 11529452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220201200212120 its reverse (21212002102022), we get a palindrome (241413202314142).

The spelling of 220201200212120 in words is "two hundred twenty trillion, two hundred one billion, two hundred million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 3163 6040 6326 12652 15815 25304 31630 63260 126520 477613 955226 1910452 2388065 3820904 4776130 9552260 11526131 19104520 23052262 46104524 57630655 92209048 115261310 230522620 461045240 1740445781 3480891562 6961783124 8702228905 13923566248 17404457810 34808915620 36457152353 69617831240 72914304706 145828609412 182285761765 291657218824 364571523530 729143047060 1458286094120 5505030005303 11010060010606 22020120021212 27525150026515 44040240042424 55050300053030 110100600106060 220201200212120