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12132120300000 = 2535540440401
BaseRepresentation
bin1011000010001011101010…
…1110001000100111100000
31120221211010022201202012220
42300202322232020213200
53042233040244100000
641445230310351040
72361342152022351
oct260427256104740
946854108652186
1012132120300000
113958226697788
12143b35265b480
136a009193c0ac
142dd2aa8d9d28
151608b6eab1a0
hexb08bab889e0

12132120300000 has 144 divisors (see below), whose sum is σ = 39805972973424. Its totient is φ = 3235232000000.

The previous prime is 12132120299927. The next prime is 12132120300019. The reversal of 12132120300000 is 302123121.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19920201 + ... + 20520200.

It is an arithmetic number, because the mean of its divisors is an integer number (276430367871).

Almost surely, 212132120300000 is an apocalyptic number.

12132120300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132120300000 is an abundant number, since it is smaller than the sum of its proper divisors (27673852673424).

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

12132120300000 is an frugal number, since it uses more digits than its factorization.

12132120300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40440439 (or 40440411 counting only the distinct ones).

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

Adding to 12132120300000 its reverse (302123121), we get a palindrome (12132422423121).

The spelling of 12132120300000 in words is "twelve trillion, one hundred thirty-two billion, one hundred twenty 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 40440401 80880802 121321203 161761604 202202005 242642406 323523208 404404010 485284812 606606015 647046416 808808020 970569624 1011010025 1213212030 1294092832 1617616040 1941139248 2022020050 2426424060 3033030075 3235232080 3882278496 4044040100 4852848120 5055050125 6066060150 6470464160 8088080200 9705696240 10110100250 12132120300 15165150375 16176160400 19411392480 20220200500 24264240600 25275250625 30330300750 32352320800 40440401000 48528481200 50550501250 60660601500 75825751875 80880802000 97056962400 101101002500 121321203000 126376253125 151651503750 161761604000 202202005000 242642406000 252752506250 303303007500 379128759375 404404010000 485284812000 505505012500 606606015000 758257518750 808808020000 1011010025000 1213212030000 1516515037500 2022020050000 2426424060000 3033030075000 4044040100000 6066060150000 12132120300000