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121310201302312 = 231115721170958693
BaseRepresentation
bin11011100101010010111011…
…011101001100110100101000
3120220112010211111200100011011
4123211102323131030310220
5111400021243013133222
61110001045341513304
734360241606410651
oct3345227335146450
9526463744610134
10121310201302312
11357204050a2860
1211732890b72834
13528c66cb33569
1421d56333bc528
15e05853e4dc77
hex6e54bb74cd28

121310201302312 has 128 divisors (see below), whose sum is σ = 251256617827200. Its totient is φ = 54452277734400.

The previous prime is 121310201302307. The next prime is 121310201302357. The reversal of 121310201302312 is 213203102013121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066830438 + ... + 2066889130.

It is an arithmetic number, because the mean of its divisors is an integer number (1962942326775).

Almost surely, 2121310201302312 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 121310201302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125628308913600).

121310201302312 is an abundant number, since it is smaller than the sum of its proper divisors (129946416524888).

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

121310201302312 is a wasteful number, since it uses less digits than its factorization.

121310201302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59787 (or 59783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121310201302312 its reverse (213203102013121), we get a palindrome (334513303315433).

The spelling of 121310201302312 in words is "one hundred twenty-one trillion, three hundred ten billion, two hundred one million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 157 211 314 422 628 709 844 1256 1418 1688 1727 2321 2836 3454 4642 5672 6908 7799 9284 13816 15598 18568 31196 33127 58693 62392 66254 111313 117386 132508 149599 222626 234772 265016 299198 364397 445252 469544 598396 645623 728794 890504 1196792 1224443 1291246 1457588 1645589 2448886 2582492 2915176 3291178 4897772 5164984 6582356 9214801 9795544 12384223 13164712 18429602 23487043 24768446 36859204 41613337 46974086 49536892 73718408 83226674 93948172 99073784 101362811 136226453 166453348 187896344 202725622 258357473 272452906 332906696 405451244 457746707 516714946 544905812 810902488 915493414 1033429892 1089811624 1830986828 1944323011 2066859784 3661973656 3888646022 6533293909 7777292044 8780414107 13066587818 15554584088 17560828214 21387553121 26133175636 35121656428 42775106242 52266351272 70243312856 71866232999 85550212484 96584555177 143732465998 171100424968 193169110354 287464931996 386338220708 574929863992 772676441416 1378525014799 2757050029598 5514100059196 11028200118392 15163775162789 30327550325578 60655100651156 121310201302312