Search a number
-
+
121202011102120 = 23513725332135777
BaseRepresentation
bin11011100011101110001010…
…110100010101101110101000
3120220010210120112201201101121
4123203232022310111232220
5111341233204320231440
61105435234002225024
734346361552031534
oct3343561264255650
9526123515651347
10121202011102120
11356895365a0073
1211715918355174
1352823ba578120
1421d02cc702bc4
15e02b20b9834a
hex6e3b8ad15ba8

121202011102120 has 64 divisors (see below), whose sum is σ = 293722296351120. Its totient is φ = 44745340329984.

The previous prime is 121202011102069. The next prime is 121202011102163. The reversal of 121202011102120 is 21201110202121.

It can be written as a sum of positive squares in 8 ways, for example, as 8484252375076 + 112717758727044 = 2912774^2 + 10616862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121202011102094 and 121202011102103.

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, 12296329 + ... + 19839448.

Almost surely, 2121202011102120 is an apocalyptic number.

121202011102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121202011102120 is an abundant number, since it is smaller than the sum of its proper divisors (172520285249000).

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

121202011102120 is a wasteful number, since it uses less digits than its factorization.

121202011102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32143054 (or 32143050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121202011102120 its reverse (21201110202121), we get a palindrome (142403121304241).

The spelling of 121202011102120 in words is "one hundred twenty-one trillion, two hundred two billion, eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7253 14506 29012 36265 58024 72530 94289 145060 188578 290120 377156 471445 754312 942890 1885780 3771560 32135777 64271554 128543108 160678885 257086216 321357770 417765101 642715540 835530202 1285431080 1671060404 2088825505 3342120808 4177651010 8355302020 16710604040 233080790581 466161581162 932323162324 1165403952905 1864646324648 2330807905810 3030050277553 4661615811620 6060100555106 9323231623240 12120201110212 15150251387765 24240402220424 30300502775530 60601005551060 121202011102120