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12110010021090 = 2335236013244729
BaseRepresentation
bin1011000000111001010011…
…0110000111010011100010
31120212201001102100012112000
42300032110312013103202
53041402300031133330
641431132314344430
72356630223530662
oct260162466072342
946781042305460
1012110010021090
11394990aa49a03
121437001a2b116
1369ac79cb7b17
142dc1b02501a2
15160020d47560
hexb0394d874e2

12110010021090 has 128 divisors (see below), whose sum is σ = 33753498508800. Its totient is φ = 3083789491200.

The previous prime is 12110010021073. The next prime is 12110010021091. The reversal of 12110010021090 is 9012001001121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12110010021091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2109846 + ... + 5354574.

It is an arithmetic number, because the mean of its divisors is an integer number (263699207100).

Almost surely, 212110010021090 is an apocalyptic number.

12110010021090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110010021090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876749254400).

12110010021090 is an abundant number, since it is smaller than the sum of its proper divisors (21643488487710).

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

12110010021090 is a wasteful number, since it uses less digits than its factorization.

12110010021090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245369 (or 3245363 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 12110010021090 in words is "twelve trillion, one hundred ten billion, ten million, twenty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 601 621 690 1035 1202 1242 1803 2070 3005 3105 3606 5409 6010 6210 9015 10818 13823 16227 18030 27045 27646 32454 41469 54090 69115 81135 82938 124407 138230 162270 207345 248814 373221 414690 622035 746442 1244070 1866105 3244729 3732210 6489458 9734187 16223645 19468374 29202561 32447290 48670935 58405122 74628767 87607683 97341870 146012805 149257534 175215366 223886301 292025610 373143835 438038415 447772602 671658903 746287670 876076830 1119431505 1343317806 1950082129 2014976709 2238863010 3358294515 3900164258 4029953418 5850246387 6716589030 9750410645 10074883545 11700492774 17550739161 19500821290 20149767090 29251231935 35101478322 44851888967 52652217483 58502463870 87753695805 89703777934 105304434966 134555666901 175507391610 224259444835 263261087415 269111333802 403667000703 448518889670 526522174830 672778334505 807334001406 1211001002109 1345556669010 2018335003515 2422002004218 4036670007030 6055005010545 12110010021090