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12011023231300 = 2252312969712889
BaseRepresentation
bin1010111011001000100011…
…0001011110100101000100
31120112020112212020021101101
42232302020301132211010
53033242033421400200
641313442104105444
72346524231643052
oct256621061364504
946466485207341
1012011023231300
11391093453a715
12141b997465284
1369183338c362
142d749d9b91d2
1515c67aa4d26a
hexaec88c5e944

12011023231300 has 108 divisors (see below), whose sum is σ = 26936680772820. Its totient is φ = 4648588185600.

The previous prime is 12011023231279. The next prime is 12011023231301. The reversal of 12011023231300 is 313232011021.

It can be written as a sum of positive squares in 6 ways, for example, as 884382253056 + 11126640978244 = 940416^2 + 3335662^2 .

It is not an unprimeable number, because it can be changed into a prime (12011023231301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 931875256 + ... + 931888144.

Almost surely, 212011023231300 is an apocalyptic number.

12011023231300 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 12011023231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468340386410).

12011023231300 is an abundant number, since it is smaller than the sum of its proper divisors (14925657541520).

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

12011023231300 is a wasteful number, since it uses less digits than its factorization.

12011023231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22662 (or 22624 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12011023231300 its reverse (313232011021), we get a palindrome (12324255242321).

The spelling of 12011023231300 in words is "twelve trillion, eleven billion, twenty-three million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1550 1922 3100 3844 4805 9610 9697 12889 19220 19394 24025 25778 38788 48050 48485 51556 64445 96100 96970 128890 193940 242425 257780 300607 322225 399559 484850 601214 644450 799118 969700 1202428 1288900 1503035 1598236 1997795 3006070 3995590 6012140 7515175 7991180 9318817 9988975 12386329 15030350 18637634 19977950 24772658 30060700 37275268 39955900 46594085 49545316 61931645 93188170 123863290 124984633 186376340 232970425 247726580 249969266 309658225 465940850 499938532 619316450 624923165 931881700 1238632900 1249846330 2499692660 3124615825 3874523623 6249231650 7749047246 12498463300 15498094492 19372618115 38745236230 77490472460 96863090575 120110232313 193726181150 240220464626 387452362300 480440929252 600551161565 1201102323130 2402204646260 3002755807825 6005511615650 12011023231300