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12000100210120 = 2351138167714569
BaseRepresentation
bin1010111010011111110110…
…1101011101010111001000
31120111012100121122022020101
42232213331231131113020
53033102201123210440
641304434145535144
72345656445541211
oct256477555352710
946435317568211
1012000100210120
1139072397aa190
1214198493444b4
136907b23a7c09
142d6b45026408
1515c23bb1769a
hexae9fdb5d5c8

12000100210120 has 64 divisors (see below), whose sum is σ = 29455604380800. Its totient is φ = 4363552366080.

The previous prime is 12000100210099. The next prime is 12000100210121. The reversal of 12000100210120 is 2101200100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12000100210097 and 12000100210106.

It is not an unprimeable number, because it can be changed into a prime (12000100210121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16436196 + ... + 17150764.

It is an arithmetic number, because the mean of its divisors is an integer number (460243818450).

Almost surely, 212000100210120 is an apocalyptic number.

12000100210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000100210120 is an abundant number, since it is smaller than the sum of its proper divisors (17455504170680).

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

12000100210120 is a wasteful number, since it uses less digits than its factorization.

12000100210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752758 (or 752754 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000100210120 its reverse (2101200100021), we get a palindrome (14101300310141).

The spelling of 12000100210120 in words is "twelve trillion, one hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 38167 76334 152668 190835 305336 381670 419837 714569 763340 839674 1429138 1526680 1679348 2099185 2858276 3358696 3572845 4198370 5716552 7145690 7860259 8396740 14291380 15720518 16793480 28582760 31441036 39301295 62882072 78602590 157205180 314410360 27272955023 54545910046 109091820092 136364775115 218183640184 272729550230 300002505253 545459100460 600005010506 1090918200920 1200010021012 1500012526265 2400020042024 3000025052530 6000050105060 12000100210120