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121100001212112 = 24313243377974299
BaseRepresentation
bin11011100010001111001010…
…100011011111011011010000
3120212210001021022010101101020
4123202033022203133123100
5111333100300302241422
61105320323400235440
734336120631210436
oct3342171243373320
9525701238111336
10121100001212112
113564a24968294a
12116b9ba946bb80
1352758b153a870
1421c93b2770d56
15e0015029595c
hex6e23ca8df6d0

121100001212112 has 80 divisors (see below), whose sum is σ = 336920299262400. Its totient is φ = 37260003096576.

The previous prime is 121100001212087. The next prime is 121100001212131. The reversal of 121100001212112 is 211212100001121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121100001212091 and 121100001212100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11199139 + ... + 19173437.

It is an arithmetic number, because the mean of its divisors is an integer number (4211503740780).

Almost surely, 2121100001212112 is an apocalyptic number.

121100001212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121100001212112 is an abundant number, since it is smaller than the sum of its proper divisors (215820298050288).

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

121100001212112 is a wasteful number, since it uses less digits than its factorization.

121100001212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998660 (or 7998654 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121100001212112 its reverse (211212100001121), we get a palindrome (332312101213233).

The spelling of 121100001212112 in words is "one hundred twenty-one trillion, one hundred billion, one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 24337 48674 73011 97348 146022 194696 292044 316381 389392 584088 632762 949143 1168176 1265524 1898286 2531048 3796572 5062096 7593144 7974299 15186288 15948598 23922897 31897196 47845794 63794392 95691588 103665887 127588784 191383176 207331774 310997661 382766352 414663548 621995322 829327096 1243990644 1658654192 2487981288 4975962576 194070514763 388141029526 582211544289 776282059052 1164423088578 1552564118104 2328846177156 2522916691919 3105128236208 4657692354312 5045833383838 7568750075757 9315384708624 10091666767676 15137500151514 20183333535352 30275000303028 40366667070704 60550000606056 121100001212112