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12201131103120 = 243355648671807
BaseRepresentation
bin1011000110001100110000…
…0101011101001110010000
31121012102020210201210002000
42301203030011131032100
53044400404030244440
641541042223354000
72366334255124161
oct261431405351620
947172223653060
1012201131103120
11398451a474573
1214507b2152900
136a673c15c83b
14302775db7768
151625a5821730
hexb18cc15d390

12201131103120 has 80 divisors (see below), whose sum is σ = 42026118251520. Its totient is φ = 3253634960256.

The previous prime is 12201131103113. The next prime is 12201131103121. The reversal of 12201131103120 is 2130113110221.

12201131103120 is a `hidden beast` number, since 1 + 220 + 1 + 131 + 1 + 0 + 312 + 0 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12201131103093 and 12201131103102.

It is not an unprimeable number, because it can be changed into a prime (12201131103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2824333744 + ... + 2824338063.

It is an arithmetic number, because the mean of its divisors is an integer number (525326478144).

Almost surely, 212201131103120 is an apocalyptic number.

12201131103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201131103120 is an abundant number, since it is smaller than the sum of its proper divisors (29824987148400).

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

12201131103120 is a wasteful number, since it uses less digits than its factorization.

12201131103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648671829 (or 5648671817 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12201131103120 its reverse (2130113110221), we get a palindrome (14331244213341).

The spelling of 12201131103120 in words is "twelve trillion, two hundred one billion, one hundred thirty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5648671807 11297343614 16946015421 22594687228 28243359035 33892030842 45189374456 50838046263 56486718070 67784061684 84730077105 90378748912 101676092526 112973436140 135568123368 152514138789 169460154210 203352185052 225946872280 254190231315 271136246736 305028277578 338920308420 406704370104 451893744560 508380462630 610056555156 677840616840 762570693945 813408740208 1016760925260 1220113110312 1355681233680 1525141387890 2033521850520 2440226220624 3050282775780 4067043701040 6100565551560 12201131103120