Search a number
-
+
12132321020000 = 25541747347233
BaseRepresentation
bin1011000010001100011010…
…1011110100100001100000
31120221211122022102101021222
42300203012223310201200
53042233443140120000
641445302240434212
72361350140066016
oct260430653644140
946854568371258
1012132321020000
113958319a21685
12143b3a9918968
136a00c43b901c
142dd2c94288b6
151608c9908a85
hexb08c6af4860

12132321020000 has 120 divisors (see below), whose sum is σ = 29864500469496. Its totient is φ = 4850136576000.

The previous prime is 12132321019991. The next prime is 12132321020011. The reversal of 12132321020000 is 2012323121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34766384 + ... + 35113616.

Almost surely, 212132321020000 is an apocalyptic number.

12132321020000 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 12132321020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932250234748).

12132321020000 is an abundant number, since it is smaller than the sum of its proper divisors (17732179449496).

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

12132321020000 is an equidigital number, since it uses as much as digits as its factorization.

12132321020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349010 (or 348987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12132321020000 its reverse (2012323121), we get a palindrome (12134333343121).

The spelling of 12132321020000 in words is "twelve trillion, one hundred thirty-two billion, three hundred twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1747 2000 2500 3494 4000 5000 6988 8735 10000 13976 17470 20000 27952 34940 43675 55904 69880 87350 139760 174700 218375 279520 347233 349400 436750 694466 698800 873500 1091875 1388932 1397600 1736165 1747000 2183750 2777864 3472330 3494000 4367500 5555728 6944660 6988000 8680825 8735000 11111456 13889320 17361650 17470000 27778640 34723300 34940000 43404125 55557280 69446600 86808250 138893200 173616500 217020625 277786400 347233000 434041250 606616051 694466000 868082500 1213232102 1388932000 1736165000 2426464204 3033080255 3472330000 4852928408 6066160510 6944660000 9705856816 12132321020 15165401275 19411713632 24264642040 30330802550 48529284080 60661605100 75827006375 97058568160 121323210200 151654012750 242646420400 303308025500 379135031875 485292840800 606616051000 758270063750 1213232102000 1516540127500 2426464204000 3033080255000 6066160510000 12132321020000