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12121515121100 = 22527111574222743
BaseRepresentation
bin1011000001100100001010…
…0110100101100111001100
31120220210202020012211201012
42300121002212211213030
53042044330332333400
641440314104504352
72360515305341420
oct260310246454714
946823666184635
1012121515121100
113953784307920
121439292a7b0b8
1369c0917619c8
142dc982242b80
15160495e0ad35
hexb06429a59cc

12121515121100 has 72 divisors (see below), whose sum is σ = 32794208203008. Its totient is φ = 3778134580800.

The previous prime is 12121515121013. The next prime is 12121515121153. The reversal of 12121515121100 is 112151512121.

It is a super-2 number, since 2×121215151211002 (a number of 27 digits) contains 22 as substring.

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, 787103672 + ... + 787119071.

Almost surely, 212121515121100 is an apocalyptic number.

12121515121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121515121100 is an abundant number, since it is smaller than the sum of its proper divisors (20672693081908).

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

12121515121100 is a wasteful number, since it uses less digits than its factorization.

12121515121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574222775 (or 1574222768 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 23.

Adding to 12121515121100 its reverse (112151512121), we get a palindrome (12233666633221).

The spelling of 12121515121100 in words is "twelve trillion, one hundred twenty-one billion, five hundred fifteen million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 1574222743 3148445486 6296890972 7871113715 11019559201 15742227430 17316450173 22039118402 31484454860 34632900346 39355568575 44078236804 55097796005 69265800692 78711137150 86582250865 110195592010 121215151211 157422274300 173164501730 220391184020 242430302422 275488980025 346329003460 432911254325 484860604844 550977960050 606075756055 865822508650 1101955920100 1212151512110 1731645017300 2424303024220 3030378780275 6060757560550 12121515121100