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12121121022010 = 25711134192889979
BaseRepresentation
bin1011000001100010101100…
…0111001110000000111010
31120220202201202122112101121
42300120223013032000322
53042043023440201020
641440211025535454
72360502451504450
oct260305307160072
946822652575347
1012121121022010
1139535a19023a0
1214391a2aa458a
1369c02ac08290
142dc945b769d0
15160471510baa
hexb062b1ce03a

12121121022010 has 128 divisors (see below), whose sum is σ = 29364046387200. Its totient is φ = 3479071115520.

The previous prime is 12121121022001. The next prime is 12121121022013. The reversal of 12121121022010 is 1022012112121.

It is not an unprimeable number, because it can be changed into a prime (12121121022013) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2749201 + ... + 5639179.

It is an arithmetic number, because the mean of its divisors is an integer number (229406612400).

Almost surely, 212121121022010 is an apocalyptic number.

12121121022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121121022010 is an abundant number, since it is smaller than the sum of its proper divisors (17242925365190).

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

12121121022010 is a wasteful number, since it uses less digits than its factorization.

12121121022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890436.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12121121022010 its reverse (1022012112121), we get a palindrome (13143133134131).

The spelling of 12121121022010 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 419 455 715 770 838 910 1001 1430 2002 2095 2933 4190 4609 5005 5447 5866 9218 10010 10894 14665 23045 27235 29330 32263 38129 46090 54470 59917 64526 76258 119834 161315 190645 299585 322630 381290 419419 599170 838838 2097095 2889979 4194190 5779958 14449895 20229853 28899790 31789769 37569727 40459706 63579538 75139454 101149265 158948845 187848635 202298530 222528383 262988089 317897690 375697270 413266997 445056766 525976178 826533994 1112641915 1210901201 1314940445 2066334985 2225283830 2421802402 2629880890 2892868979 4132669970 5785737958 6054506005 8476308407 12109012010 13319913211 14464344895 15741715613 16952616814 26639826422 28928689790 31483431226 42381542035 66599566055 78708578065 84763084070 93239392477 110192009291 133199132110 157417156130 173158871743 186478784954 220384018582 346317743486 466196962385 550960046455 865794358715 932393924770 1101920092910 1212112102201 1731588717430 2424224204402 6060560511005 12121121022010