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121200123120 = 24352237225749
BaseRepresentation
bin111000011100000010…
…1110001110011110000
3102120211122102011220220
41300320011301303300
53441204212414440
6131402323133040
711520311022426
oct1607005616360
9376748364826
10121200123120
114744534540a
121b5a5814180
13b576a228ab
145c1a8a9116
1532455178d0
hex1c38171cf0

121200123120 has 80 divisors (see below), whose sum is σ = 375890004000. Its totient is φ = 32305441792.

The previous prime is 121200123013. The next prime is 121200123211. The reversal of 121200123120 is 21321002121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121200123120.

It is a congruent number.

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, 424006 + ... + 649754.

It is an arithmetic number, because the mean of its divisors is an integer number (4698625050).

Almost surely, 2121200123120 is an apocalyptic number.

121200123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121200123120 is an abundant number, since it is smaller than the sum of its proper divisors (254689880880).

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

121200123120 is a wasteful number, since it uses less digits than its factorization.

121200123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228002 (or 227996 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121200123120 its reverse (21321002121), we get a palindrome (142521125241).

The spelling of 121200123120 in words is "one hundred twenty-one billion, two hundred million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2237 4474 6711 8948 11185 13422 17896 22370 26844 33555 35792 44740 53688 67110 89480 107376 134220 178960 225749 268440 451498 536880 677247 902996 1128745 1354494 1805992 2257490 2708988 3386235 3611984 4514980 5417976 6772470 9029960 10835952 13544940 18059920 27089880 54179760 505000513 1010001026 1515001539 2020002052 2525002565 3030003078 4040004104 5050005130 6060006156 7575007695 8080008208 10100010260 12120012312 15150015390 20200020520 24240024624 30300030780 40400041040 60600061560 121200123120