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12001112223312 = 243647757751001
BaseRepresentation
bin1010111010100011101000…
…0001111110111001010000
31120111021222010220220100110
42232220322001332321100
53033111234212121222
641305122420521320
72346023514525042
oct256507201767120
946437863826313
1012001112223312
113907708a88723
121419a90250240
13690913c600a4
142d6bdd5bda92
1515c29a8bd30c
hexaea3a07ee50

12001112223312 has 80 divisors (see below), whose sum is σ = 31055498070912. Its totient is φ = 3993582336000.

The previous prime is 12001112223301. The next prime is 12001112223319. The reversal of 12001112223312 is 21332221110021.

12001112223312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001112223319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235285812 + ... + 235336812.

Almost surely, 212001112223312 is an apocalyptic number.

12001112223312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001112223312 is an abundant number, since it is smaller than the sum of its proper divisors (19054385847600).

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

12001112223312 is a wasteful number, since it uses less digits than its factorization.

12001112223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59236 (or 59230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12001112223312 its reverse (21332221110021), we get a palindrome (33333333333333).

The spelling of 12001112223312 in words is "twelve trillion, one billion, one hundred twelve million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 647 1294 1941 2588 3882 5176 7577 7764 10352 15154 15528 22731 30308 31056 45462 51001 60616 90924 102002 121232 153003 181848 204004 306006 363696 408008 612012 816016 1224024 2448048 4902319 9804638 14706957 19609276 29413914 32997647 39218552 58827828 65995294 78437104 98992941 117655656 131990588 197985882 235311312 263981176 386434577 395971764 527962352 772869154 791943528 1159303731 1545738308 1583887056 2318607462 3091476616 4637214924 6182953232 9274429848 18548859696 250023171319 500046342638 750069513957 1000092685276 1500139027914 2000185370552 3000278055828 4000370741104 6000556111656 12001112223312