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123011331000120 = 233252291492131623
BaseRepresentation
bin11011111110000011001110…
…101100000000011100111000
3121010112202202011022202102200
4123332003032230000130320
5112110404201214000440
61113342343023030200
734624163312306103
oct3376031654003470
9533482664282380
10123011331000120
11362168a34a5aa2
1211968505a3b360
135383bc3617274
142253accb9973a
15e34c18a1cc30
hex6fe0ceb00738

123011331000120 has 96 divisors (see below), whose sum is σ = 401532620018400. Its totient is φ = 32659776942336.

The previous prime is 123011331000101. The next prime is 123011331000163. The reversal of 123011331000120 is 21000133110321.

123011331000120 is a `hidden beast` number, since 1 + 230 + 1 + 1 + 3 + 310 + 0 + 0 + 120 = 666.

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 = 123011331000093 and 123011331000102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745983372 + ... + 746148251.

It is an arithmetic number, because the mean of its divisors is an integer number (4182631458525).

Almost surely, 2123011331000120 is an apocalyptic number.

123011331000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123011331000120 is an abundant number, since it is smaller than the sum of its proper divisors (278521289018280).

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

123011331000120 is a wasteful number, since it uses less digits than its factorization.

123011331000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492131869 (or 1492131862 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123011331000120 its reverse (21000133110321), we get a palindrome (144011464110441).

The spelling of 123011331000120 in words is "one hundred twenty-three trillion, eleven billion, three hundred thirty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1374 1832 2061 2290 2748 3435 4122 4580 5496 6870 8244 9160 10305 13740 16488 20610 27480 41220 82440 1492131623 2984263246 4476394869 5968526492 7460658115 8952789738 11937052984 13429184607 14921316230 17905579476 22381974345 26858369214 29842632460 35811158952 44763948690 53716738428 59685264920 67145923035 89527897380 107433476856 134291846070 179055794760 268583692140 341698141667 537167384280 683396283334 1025094425001 1366792566668 1708490708335 2050188850002 2733585133336 3075283275003 3416981416670 4100377700004 5125472125005 6150566550006 6833962833340 8200755400008 10250944250010 12301133100012 13667925666680 15376416375015 20501888500020 24602266200024 30752832750030 41003777000040 61505665500060 123011331000120