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121200102120 = 23356116557391
BaseRepresentation
bin111000011100000010…
…1101100101011101000
3102120211122101010010010
41300320011230223220
53441204211231440
6131402322451520
711520310604256
oct1607005545350
9376748333103
10121200102120
1147445330659
121b5a5803ba0
13b576a16176
145c1a8a15d6
153245511580
hex1c3816cae8

121200102120 has 64 divisors (see below), whose sum is σ = 369560989440. Its totient is φ = 31790188800.

The previous prime is 121200102109. The next prime is 121200102217. The reversal of 121200102120 is 21201002121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121200102096 and 121200102105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8271376 + ... + 8286015.

It is an arithmetic number, because the mean of its divisors is an integer number (5774390460).

Almost surely, 2121200102120 is an apocalyptic number.

121200102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121200102120 is an abundant number, since it is smaller than the sum of its proper divisors (248360887320).

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

121200102120 is a wasteful number, since it uses less digits than its factorization.

121200102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16557466 (or 16557462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121200102120 its reverse (21201002121), we get a palindrome (142401104241).

Subtracting from 121200102120 its reverse (21201002121), we obtain a palindrome (99999099999).

The spelling of 121200102120 in words is "one hundred twenty-one billion, two hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 16557391 33114782 49672173 66229564 82786955 99344346 132459128 165573910 198688692 248360865 331147820 397377384 496721730 662295640 993443460 1010000851 1986886920 2020001702 3030002553 4040003404 5050004255 6060005106 8080006808 10100008510 12120010212 15150012765 20200017020 24240020424 30300025530 40400034040 60600051060 121200102120