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12011022002300 = 22521032514645891
BaseRepresentation
bin1010111011001000100010…
…1100110010100001111100
31120112020112202220211111212
42232302020230302201330
53033242033113033200
641313442021503552
72346524215334006
oct256621054624174
946466482824455
1012011022002300
113910933880312
12141b996b71bb8
1369183304bb39
142d749d779376
1515c67a8a9035
hexaec88b3287c

12011022002300 has 72 divisors (see below), whose sum is σ = 26421819645312. Its totient is φ = 4738807800000.

The previous prime is 12011022002293. The next prime is 12011022002339. The reversal of 12011022002300 is 320022011021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262355 + ... + 4908245.

It is an arithmetic number, because the mean of its divisors is an integer number (366969717296).

Almost surely, 212011022002300 is an apocalyptic number.

12011022002300 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 12011022002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210909822656).

12011022002300 is an abundant number, since it is smaller than the sum of its proper divisors (14410797643012).

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

12011022002300 is a wasteful number, since it uses less digits than its factorization.

12011022002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646259 (or 4646252 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12011022002300 its reverse (320022011021), we get a palindrome (12331044013321).

The spelling of 12011022002300 in words is "twelve trillion, eleven billion, twenty-two million, two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 251 412 502 515 1004 1030 1255 2060 2510 2575 5020 5150 6275 10300 12550 25100 25853 51706 103412 129265 258530 517060 646325 1292650 2585300 4645891 9291782 18583564 23229455 46458910 92917820 116147275 232294550 464589100 478526773 957053546 1166118641 1914107092 2332237282 2392633865 4664474564 4785267730 5830593205 9570535460 11661186410 11963169325 23322372820 23926338650 29152966025 47852677300 58305932050 116611864100 120110220023 240220440046 480440880092 600551100115 1201102200230 2402204400460 3002755500575 6005511001150 12011022002300