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121220201120 = 2555949126153
BaseRepresentation
bin111000011100101001…
…0010111101010100000
3102120220001012020202112
41300321102113222200
53441224332413440
6131404321334452
711520643465034
oct1607122275240
9376801166675
10121220201120
11474557092a7
121b5b0497428
13b57ac32675
145c1d4141c4
153247181965
hex1c39497aa0

121220201120 has 96 divisors (see below), whose sum is σ = 291840978240. Its totient is φ = 47567349760.

The previous prime is 121220201119. The next prime is 121220201147. The reversal of 121220201120 is 21102022121.

It is a junction number, because it is equal to n+sod(n) for n = 121220201095 and 121220201104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4621964 + ... + 4648116.

It is an arithmetic number, because the mean of its divisors is an integer number (3040010190).

Almost surely, 2121220201120 is an apocalyptic number.

121220201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145920489120).

121220201120 is an abundant number, since it is smaller than the sum of its proper divisors (170620777120).

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

121220201120 is a wasteful number, since it uses less digits than its factorization.

121220201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26718 (or 26710 counting only the distinct ones).

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

Adding to 121220201120 its reverse (21102022121), we get a palindrome (142322223241).

The spelling of 121220201120 in words is "one hundred twenty-one billion, two hundred twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 491 590 944 982 1180 1888 1964 2360 2455 3928 4720 4910 7856 9440 9820 15712 19640 26153 28969 39280 52306 57938 78560 104612 115876 130765 144845 209224 231752 261530 289690 418448 463504 523060 579380 836896 927008 1046120 1158760 1543027 2092240 2317520 3086054 4184480 4635040 6172108 7715135 12344216 12841123 15430270 24688432 25682246 30860540 49376864 51364492 61721080 64205615 102728984 123442160 128411230 205457968 246884320 256822460 410915936 513644920 757626257 1027289840 1515252514 2054579680 3030505028 3788131285 6061010056 7576262570 12122020112 15152525140 24244040224 30305050280 60610100560 121220201120