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12121010110200 = 2335295321197989
BaseRepresentation
bin1011000001100010010010…
…0000000111111011111000
31120220202110000221121222210
42300120210200013323320
53042042312042011300
641440152024415120
72360466633664425
oct260304440077370
946822400847883
1012121010110200
113953545238742
1214391719174a0
1369c010c43ba4
142dc935144d4c
15160466903050
hexb0624807ef8

12121010110200 has 96 divisors (see below), whose sum is σ = 37614561375600. Its totient is φ = 3228877532160.

The previous prime is 12121010110169. The next prime is 12121010110229. The reversal of 12121010110200 is 201101012121.

It is a super-2 number, since 2×121210101102002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10027195 + ... + 11170794.

Almost surely, 212121010110200 is an apocalyptic number.

12121010110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121010110200 is an abundant number, since it is smaller than the sum of its proper divisors (25493551265400).

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

12121010110200 is a wasteful number, since it uses less digits than its factorization.

12121010110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21198961 (or 21198952 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12121010110200 its reverse (201101012121), we get a palindrome (12322111122321).

The spelling of 12121010110200 in words is "twelve trillion, one hundred twenty-one billion, ten million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 953 1906 2859 3812 4765 5718 7624 9530 11436 14295 19060 22872 23825 28590 38120 47650 57180 71475 95300 114360 142950 190600 285900 571800 21197989 42395978 63593967 84791956 105989945 127187934 169583912 211979890 254375868 317969835 423959780 508751736 529949725 635939670 847919560 1059899450 1271879340 1589849175 2119798900 2543758680 3179698350 4239597800 6359396700 12718793400 20201683517 40403367034 60605050551 80806734068 101008417585 121210101102 161613468136 202016835170 242420202204 303025252755 404033670340 484840404408 505042087925 606050505510 808067340680 1010084175850 1212101011020 1515126263775 2020168351700 2424202022040 3030252527550 4040336703400 6060505055100 12121010110200