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12021312300000 = 2535540071041
BaseRepresentation
bin1010111011101110111000…
…0011001010001111100000
31120120020002220221010012220
42232323232003022033200
53033424121422100000
641322303054351040
72350340216405643
oct256735603121740
946506086833186
1012021312300000
113915234442283
1214219891bb480
136927b2c1aba3
142d7b982a7a5a
1515ca7deab1a0
hexaeeee0ca3e0

12021312300000 has 144 divisors (see below), whose sum is σ = 39442407493104. Its totient is φ = 3205683200000.

The previous prime is 12021312299993. The next prime is 12021312300031. The reversal of 12021312300000 is 321312021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 19735521 + ... + 20335520.

It is an arithmetic number, because the mean of its divisors is an integer number (273905607591).

Almost surely, 212021312300000 is an apocalyptic number.

12021312300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021312300000 is an abundant number, since it is smaller than the sum of its proper divisors (27421095193104).

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

12021312300000 is an frugal number, since it uses more digits than its factorization.

12021312300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40071079 (or 40071051 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12021312300000 its reverse (321312021), we get a palindrome (12021633612021).

The spelling of 12021312300000 in words is "twelve trillion, twenty-one billion, three hundred twelve million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 40071041 80142082 120213123 160284164 200355205 240426246 320568328 400710410 480852492 601065615 641136656 801420820 961704984 1001776025 1202131230 1282273312 1602841640 1923409968 2003552050 2404262460 3005328075 3205683280 3846819936 4007104100 4808524920 5008880125 6010656150 6411366560 8014208200 9617049840 10017760250 12021312300 15026640375 16028416400 19234099680 20035520500 24042624600 25044400625 30053280750 32056832800 40071041000 48085249200 50088801250 60106561500 75133201875 80142082000 96170498400 100177602500 120213123000 125222003125 150266403750 160284164000 200355205000 240426246000 250444006250 300532807500 375666009375 400710410000 480852492000 500888012500 601065615000 751332018750 801420820000 1001776025000 1202131230000 1502664037500 2003552050000 2404262460000 3005328075000 4007104100000 6010656150000 12021312300000