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121211113232 = 241147591012459
BaseRepresentation
bin111000011100010111…
…1101100111100010000
3102120212102002112112002
41300320233230330100
53441220021110412
6131403354453132
711520503314526
oct1607057547420
9376772075462
10121211113232
1147450571450
121b5a94341a8
13b5790a0011
145c1c12a316
153246488dc2
hex1c38becf10

121211113232 has 160 divisors (see below), whose sum is σ = 268825651200. Its totient is φ = 52463552000.

The previous prime is 121211113217. The next prime is 121211113253. The reversal of 121211113232 is 232311112121.

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 31 ways as a sum of consecutive naturals, for example, 49291619 + ... + 49294077.

It is an arithmetic number, because the mean of its divisors is an integer number (1680160320).

Almost surely, 2121211113232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121211113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134412825600).

121211113232 is an abundant number, since it is smaller than the sum of its proper divisors (147614537968).

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

121211113232 is a wasteful number, since it uses less digits than its factorization.

121211113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2679 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 121211113232 its reverse (232311112121), we get a palindrome (353522225353).

The spelling of 121211113232 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 59 88 94 101 118 176 188 202 236 376 404 472 517 649 752 808 944 1034 1111 1298 1616 2068 2222 2459 2596 2773 4136 4444 4747 4918 5192 5546 5959 8272 8888 9494 9836 10384 11092 11918 17776 18988 19672 22184 23836 27049 30503 37976 39344 44368 47672 52217 54098 61006 65549 75952 95344 104434 108196 115573 122012 131098 145081 208868 216392 231146 244024 248359 262196 280073 290162 417736 432784 462292 488048 496718 524392 560146 580324 835472 924584 993436 1048784 1120292 1160648 1271303 1595891 1849168 1986872 2240584 2321296 2542606 2731949 3080803 3191782 3973744 4481168 5085212 5463898 6161606 6383564 6818807 10170424 10927796 11672873 12323212 12767128 13637614 14653181 20340848 21855592 23345746 24646424 25534256 27275228 29306362 43711184 46691492 49292848 54550456 58612724 75006877 93382984 109100912 117225448 128401603 150013754 161184991 186765968 234450896 256803206 300027508 322369982 513606412 600055016 644739964 688699507 1027212824 1200110032 1289479928 1377399014 2054425648 2578959856 2754798028 5509596056 7575694577 11019192112 15151389154 30302778308 60605556616 121211113232