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121330232000 = 2653100915031
BaseRepresentation
bin111000011111111011…
…0000110101011000000
3102121011201020101202022
41300333312012223000
53441441014411000
6131423251541012
711523450645545
oct1607766065300
9377151211668
10121330232000
114750183110a
121b6212ba768
13b597978ab3
145c2dc96bcc
153251b68585
hex1c3fd86ac0

121330232000 has 112 divisors (see below), whose sum is σ = 300792123840. Its totient is φ = 48480768000.

The previous prime is 121330231999. The next prime is 121330232011. The reversal of 121330232000 is 232033121.

121330232000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 121330232000.

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 15 ways as a sum of consecutive naturals, for example, 8064485 + ... + 8079515.

Almost surely, 2121330232000 is an apocalyptic number.

121330232000 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 121330232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150396061920).

121330232000 is an abundant number, since it is smaller than the sum of its proper divisors (179461891840).

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

121330232000 is a wasteful number, since it uses less digits than its factorization.

121330232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16067 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 121330232000 its reverse (232033121), we get a palindrome (121562265121).

The spelling of 121330232000 in words is "one hundred twenty-one billion, three hundred thirty million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1009 1600 2000 2018 4000 4036 5045 8000 8072 10090 15031 16144 20180 25225 30062 32288 40360 50450 60124 64576 75155 80720 100900 120248 126125 150310 161440 201800 240496 252250 300620 322880 375775 403600 480992 504500 601240 751550 807200 961984 1009000 1202480 1503100 1614400 1878875 2018000 2404960 3006200 3757750 4036000 4809920 6012400 7515500 8072000 12024800 15031000 15166279 24049600 30062000 30332558 60124000 60665116 75831395 120248000 121330232 151662790 242660464 303325580 379156975 485320928 606651160 758313950 970641856 1213302320 1516627900 1895784875 2426604640 3033255800 3791569750 4853209280 6066511600 7583139500 12133023200 15166279000 24266046400 30332558000 60665116000 121330232000