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12120010121000 = 235389136179889
BaseRepresentation
bin1011000001011110100011…
…1001011101111100101000
31120220122212100021220200202
42300113220321131330220
53042033240042333000
641435504503251332
72360433102140135
oct260275071357450
946818770256622
1012120010121000
113953081821a91
121438b32a49b48
1369bbb1a0b8c2
142dc87c3db58c
15160408c24dd5
hexb05e8e5df28

12120010121000 has 64 divisors (see below), whose sum is σ = 28679484834000. Its totient is φ = 4793532057600.

The previous prime is 12120010120997. The next prime is 12120010121017. The reversal of 12120010121000 is 12101002121.

It can be written as a sum of positive squares in 8 ways, for example, as 1119630631876 + 11000379489124 = 1058126^2 + 3316682^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68000945 + ... + 68178944.

Almost surely, 212120010121000 is an apocalyptic number.

12120010121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120010121000 is an abundant number, since it is smaller than the sum of its proper divisors (16559474713000).

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

12120010121000 is a wasteful number, since it uses less digits than its factorization.

12120010121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136179999 (or 136179985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12120010121000 its reverse (12101002121), we get a palindrome (12132111123121).

The spelling of 12120010121000 in words is "twelve trillion, one hundred twenty billion, ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 4450 8900 11125 17800 22250 44500 89000 136179889 272359778 544719556 680899445 1089439112 1361798890 2723597780 3404497225 5447195560 6808994450 12120010121 13617988900 17022486125 24240020242 27235977800 34044972250 48480040484 60600050605 68089944500 96960080968 121200101210 136179889000 242400202420 303000253025 484800404840 606000506050 1212001012100 1515001265125 2424002024200 3030002530250 6060005060500 12120010121000