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12111221202120 = 2332537909250841
BaseRepresentation
bin1011000000111101110100…
…0010011001110011001000
31120212211011211101120112200
42300033131002121303020
53041412240111431440
641431452422240200
72360002231435005
oct260173502316310
946784154346480
1012111221202120
11394a3816a2167
12143729b586060
1369b110bc55a1
142dc2870508ac
15160092340c30
hexb03dd099cc8

12111221202120 has 96 divisors (see below), whose sum is σ = 40425292435320. Its totient is φ = 3142370903040.

The previous prime is 12111221202107. The next prime is 12111221202133. The reversal of 12111221202120 is 2120212211121.

12111221202120 is a `hidden beast` number, since 1 + 211 + 1 + 221 + 20 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12111221202107) and next prime (12111221202133).

It can be written as a sum of positive squares in 4 ways, for example, as 10397954871396 + 1713266330724 = 3224586^2 + 1308918^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12111221202093 and 12111221202102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454612101 + ... + 454638740.

Almost surely, 212111221202120 is an apocalyptic number.

12111221202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111221202120 is an abundant number, since it is smaller than the sum of its proper divisors (28314071233200).

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

12111221202120 is a wasteful number, since it uses less digits than its factorization.

12111221202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909250895 (or 909250888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12111221202120 its reverse (2120212211121), we get a palindrome (14231433413241).

The spelling of 12111221202120 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 909250841 1818501682 2727752523 3637003364 4546254205 5455505046 7274006728 8183257569 9092508410 10911010092 13638762615 16366515138 18185016820 21822020184 27277525230 32733030276 33642281117 36370033640 40916287845 54555050460 65466060552 67284562234 81832575690 100926843351 109110100920 134569124468 163665151380 168211405585 201853686702 269138248936 302780530053 327330302760 336422811170 403707373404 504634216755 605561060106 672845622340 807414746808 1009268433510 1211122120212 1345691244680 1513902650265 2018536867020 2422244240424 3027805300530 4037073734040 6055610601060 12111221202120