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12102002110120 = 23513191759696361
BaseRepresentation
bin1011000000011011011110…
…0010010110111010101000
31120211221101100001011210211
42300012313202112322220
53041234400020010440
641423325533150504
72356224615441526
oct260066742267250
946757340034724
1012102002110120
11394648076896a
12143554802b434
1369a2a1c34c70
142dba508c7316
1515ec02cd7eea
hexb01b7896ea8

12102002110120 has 128 divisors (see below), whose sum is σ = 30885047424000. Its totient is φ = 4230838241280.

The previous prime is 12102002110109. The next prime is 12102002110123. The reversal of 12102002110120 is 2101120020121.

It is a super-3 number, since 3×121020021101203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12102002110120.

It is not an unprimeable number, because it can be changed into a prime (12102002110123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17030740 + ... + 17727100.

It is an arithmetic number, because the mean of its divisors is an integer number (241289433000).

Almost surely, 212102002110120 is an apocalyptic number.

12102002110120 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 12102002110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442523712000).

12102002110120 is an abundant number, since it is smaller than the sum of its proper divisors (18783045313880).

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

12102002110120 is a wasteful number, since it uses less digits than its factorization.

12102002110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698163 (or 698159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12102002110120 its reverse (2101120020121), we get a palindrome (14203122130241).

The spelling of 12102002110120 in words is "twelve trillion, one hundred two billion, two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1759 1976 2470 3518 4940 7036 8795 9880 14072 17590 22867 33421 35180 45734 66842 70360 91468 114335 133684 167105 182936 228670 267368 334210 434473 457340 668420 696361 868946 914680 1336840 1392722 1737892 2172365 2785444 3475784 3481805 4344730 5570888 6963610 8689460 9052693 13230859 13927220 17378920 18105386 26461718 27854440 36210772 45263465 52923436 66154295 72421544 90526930 105846872 132308590 172001167 181053860 264617180 344002334 362107720 529234360 688004668 860005835 1224898999 1376009336 1720011670 2449797998 3440023340 4899595996 6124494995 6880046680 9799191992 12248989990 15923686987 23273080981 24497979980 31847373974 46546161962 48995959960 63694747948 79618434935 93092323924 116365404905 127389495896 159236869870 186184647848 232730809810 302550052753 318473739740 465461619620 605100105506 636947479480 930923239240 1210200211012 1512750263765 2420400422024 3025500527530 6051001055060 12102002110120