Search a number
-
+
12021320000 = 26541492017
BaseRepresentation
bin10110011001000011…
…01100100101000000
31011000210020022220002
423030201230211000
5144104424220000
65304510335132
7603620351114
oct131441544500
934023208802
1012021320000
1151097a3708
1223b5aba4a8
1311976baa01
148207ab744
154a55828d5
hex2cc86c940

12021320000 has 140 divisors (see below), whose sum is σ = 30023904900. Its totient is φ = 4773888000.

The previous prime is 12021319997. The next prime is 12021320011. The reversal of 12021320000 is 2312021.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 9511710784 + 2509609216 = 97528^2 + 50096^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5958992 + ... + 5961008.

Almost surely, 212021320000 is an apocalyptic number.

12021320000 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 12021320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011952450).

12021320000 is an abundant number, since it is smaller than the sum of its proper divisors (18002584900).

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

12021320000 is an equidigital number, since it uses as much as digits as its factorization.

12021320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12021320000 its reverse (2312021), we get a palindrome (12023632021).

The spelling of 12021320000 in words is "twelve billion, twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 149 160 200 250 298 320 400 500 596 625 745 800 1000 1192 1250 1490 1600 2000 2017 2384 2500 2980 3725 4000 4034 4768 5000 5960 7450 8000 8068 9536 10000 10085 11920 14900 16136 18625 20000 20170 23840 29800 32272 37250 40000 40340 47680 50425 59600 64544 74500 80680 93125 100850 119200 129088 149000 161360 186250 201700 238400 252125 298000 300533 322720 372500 403400 504250 596000 601066 645440 745000 806800 1008500 1192000 1202132 1260625 1490000 1502665 1613600 2017000 2404264 2521250 2980000 3005330 3227200 4034000 4808528 5042500 5960000 6010660 7513325 8068000 9617056 10085000 12021320 15026650 16136000 19234112 20170000 24042640 30053300 37566625 40340000 48085280 60106600 75133250 80680000 96170560 120213200 150266500 187833125 240426400 300533000 375666250 480852800 601066000 751332500 1202132000 1502665000 2404264000 3005330000 6010660000 12021320000