Search a number
-
+
12132332133000 = 233539741691863
BaseRepresentation
bin1011000010001100011101…
…0110001101101010001000
31120221211200002022222110120
42300203013112031222020
53042234004011224000
641445303314543240
72361350333412312
oct260430726155210
946854602288416
1012132332133000
113958325221a82
12143b3b1597b20
136a00c67aa371
142dd2caabc7b2
151608ca8a16a0
hexb08c758da88

12132332133000 has 128 divisors (see below), whose sum is σ = 38243113009920. Its totient is φ = 3201935001600.

The previous prime is 12132332132981. The next prime is 12132332133011. The reversal of 12132332133000 is 33123323121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 20554932 + ... + 21136931.

It is an arithmetic number, because the mean of its divisors is an integer number (298774320390).

Almost surely, 212132332133000 is an apocalyptic number.

12132332133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132332133000 is an abundant number, since it is smaller than the sum of its proper divisors (26110780876920).

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

12132332133000 is a wasteful number, since it uses less digits than its factorization.

12132332133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41691984 (or 41691970 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12132332133000 its reverse (33123323121), we get a palindrome (12165455456121).

The spelling of 12132332133000 in words is "twelve trillion, one hundred thirty-two billion, three hundred thirty-two million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 125 150 194 200 250 291 300 375 388 485 500 582 600 750 776 970 1000 1164 1455 1500 1940 2328 2425 2910 3000 3880 4850 5820 7275 9700 11640 12125 14550 19400 24250 29100 36375 48500 58200 72750 97000 145500 291000 41691863 83383726 125075589 166767452 208459315 250151178 333534904 416918630 500302356 625377945 833837260 1000604712 1042296575 1250755890 1667674520 2084593150 2501511780 3126889725 4044110711 4169186300 5003023560 5211482875 6253779450 8088221422 8338372600 10422965750 12132332133 12507558900 15634448625 16176442844 20220553555 20845931500 24264664266 25015117800 31268897250 32352885688 40441107110 41691863000 48529328532 60661660665 62537794500 80882214220 97058657064 101102767775 121323321330 125075589000 161764428440 202205535550 242646642660 303308303325 404411071100 485293285320 505513838875 606616606650 808822142200 1011027677750 1213233213300 1516541516625 2022055355500 2426466426600 3033083033250 4044110711000 6066166066500 12132332133000