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12011032123120 = 2451747187907261
BaseRepresentation
bin1010111011001000100101…
…0011011001011011110000
31120112020120110222000200001
42232302021103121123300
53033242043210414440
641313443022435344
72346524400345532
oct256621123313360
946466513860601
1012011032123120
113910939563228
12141b99a432b54
136918351836a4
142d74a0c51852
1515c67b707b9a
hexaec894d96f0

12011032123120 has 80 divisors (see below), whose sum is σ = 30197448632448. Its totient is φ = 4425591787520.

The previous prime is 12011032123093. The next prime is 12011032123127. The reversal of 12011032123120 is 2132123011021.

12011032123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011032123127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93889711 + ... + 94017550.

Almost surely, 212011032123120 is an apocalyptic number.

12011032123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011032123120 is an abundant number, since it is smaller than the sum of its proper divisors (18186416509328).

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

12011032123120 is a wasteful number, since it uses less digits than its factorization.

12011032123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187907338 (or 187907332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12011032123120 its reverse (2132123011021), we get a palindrome (14143155134141).

The spelling of 12011032123120 in words is "twelve trillion, eleven billion, thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 680 752 799 940 1360 1598 1880 3196 3760 3995 6392 7990 12784 15980 31960 63920 187907261 375814522 751629044 939536305 1503258088 1879072610 3006516176 3194423437 3758145220 6388846874 7516290440 8831641267 12777693748 15032580880 15972117185 17663282534 25555387496 31944234370 35326565068 44158206335 51110774992 63888468740 70653130136 88316412670 127776937480 141306260272 150137901539 176632825340 255553874960 300275803078 353265650680 600551606156 706531301360 750689507695 1201103212312 1501379015390 2402206424624 3002758030780 6005516061560 12011032123120