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123210640000 = 27547220019
BaseRepresentation
bin111001010111111101…
…1010010101010000000
3102210000202120000121001
41302233323102222000
54004313410440000
6132334023341344
711621163105610
oct1625773225200
9383022500531
10123210640000
1148287215508
121ba66bb1854
13b80740cb56
145d6b900a40
153311ca646a
hex1cafed2a80

123210640000 has 160 divisors (see below), whose sum is σ = 350544664800. Its totient is φ = 42243456000.

The previous prime is 123210639971. The next prime is 123210640039. The reversal of 123210640000 is 46012321.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 123210640000.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 449991 + ... + 670009.

It is an arithmetic number, because the mean of its divisors is an integer number (2190904155).

Almost surely, 2123210640000 is an apocalyptic number.

123210640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123210640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175272332400).

123210640000 is an abundant number, since it is smaller than the sum of its proper divisors (227334024800).

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

123210640000 is an frugal number, since it uses more digits than its factorization.

123210640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220060 (or 220033 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 123210640000 its reverse (46012321), we get a palindrome (123256652321).

The spelling of 123210640000 in words is "one hundred twenty-three billion, two hundred ten million, six hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 40000 56000 70000 80000 112000 140000 220019 280000 440038 560000 880076 1100095 1540133 1760152 2200190 3080266 3520304 4400380 5500475 6160532 7040608 7700665 8800760 11000950 12321064 14081216 15401330 17601520 22001900 24642128 27502375 28162432 30802660 35203040 38503325 44003800 49284256 55004750 61605320 70406080 77006650 88007600 98568512 110009500 123210640 137511875 140812160 154013300 176015200 192516625 197137024 220019000 246421280 275023750 308026600 352030400 385033250 440038000 492842560 550047500 616053200 704060800 770066500 880076000 962583125 985685120 1100095000 1232106400 1540133000 1760152000 1925166250 2200190000 2464212800 3080266000 3520304000 3850332500 4400380000 4928425600 6160532000 7700665000 8800760000 12321064000 15401330000 17601520000 24642128000 30802660000 61605320000 123210640000