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12010011120100 = 2252731155167713
BaseRepresentation
bin1010111011000100110001…
…1100100101000111100100
31120112010221022202200211101
42232301030130211013210
53033233000321320400
641313153431045444
72346460162100410
oct256611434450744
946463838680741
1012010011120100
1139104651a4584
12141b754510884
136917017a16a6
142d74053d7d40
1515c61bc7856a
hexaec4c7251e4

12010011120100 has 72 divisors (see below), whose sum is σ = 29880599269248. Its totient is φ = 4104477772800.

The previous prime is 12010011120083. The next prime is 12010011120109. The reversal of 12010011120100 is 102111001021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12010011120109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27366157 + ... + 27801556.

It is an arithmetic number, because the mean of its divisors is an integer number (415008323184).

Almost surely, 212010011120100 is an apocalyptic number.

12010011120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010011120100 is an abundant number, since it is smaller than the sum of its proper divisors (17870588149148).

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

12010011120100 is a wasteful number, since it uses less digits than its factorization.

12010011120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55168045 (or 55168038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12010011120100 its reverse (102111001021), we get a palindrome (12112122121121).

The spelling of 12010011120100 in words is "twelve trillion, ten billion, eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 311 350 622 700 1244 1555 2177 3110 4354 6220 7775 8708 10885 15550 21770 31100 43540 54425 108850 217700 55167713 110335426 220670852 275838565 386173991 551677130 772347982 1103354260 1379192825 1544695964 1930869955 2758385650 3861739910 5516771300 7723479820 9654349775 17157158743 19308699550 34314317486 38617399100 68628634972 85785793715 120100111201 171571587430 240200222402 343143174860 428928968575 480400444804 600500556005 857857937150 1201001112010 1715715874300 2402002224020 3002502780025 6005005560050 12010011120100