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12001111020312 = 2334672234947911
BaseRepresentation
bin1010111010100011100111…
…1101011001001100011000
31120111021222001122210010220
42232220321331121030120
53033111233410122222
641305122335040040
72346023501354541
oct256507175311430
946437861583126
1012001111020312
113907708336907
121419a8b970020
1369091392b65b
142d6bdd3894c8
1515c29a731b5c
hexaea39f59318

12001111020312 has 64 divisors (see below), whose sum is σ = 30068996256000. Its totient is φ = 3991542311040.

The previous prime is 12001111020287. The next prime is 12001111020313. The reversal of 12001111020312 is 21302011110021.

It is a junction number, because it is equal to n+sod(n) for n = 12001111020291 and 12001111020300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001111020313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250463637 + ... + 250511547.

It is an arithmetic number, because the mean of its divisors is an integer number (469828066500).

Almost surely, 212001111020312 is an apocalyptic number.

12001111020312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001111020312 is an abundant number, since it is smaller than the sum of its proper divisors (18067885235688).

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

12001111020312 is a wasteful number, since it uses less digits than its factorization.

12001111020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70736 (or 70732 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12001111020312 its reverse (21302011110021), we get a palindrome (33303122130333).

The spelling of 12001111020312 in words is "twelve trillion, one billion, one hundred eleven million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 467 934 1401 1868 2802 3736 5604 11208 22349 44698 47911 67047 89396 95822 134094 143733 178792 191644 268188 287466 383288 536376 574932 1149864 10436983 20873966 22374437 31310949 41747932 44748874 62621898 67123311 83495864 89497748 125243796 134246622 178995496 250487592 268493244 536986488 1070762939 2141525878 3212288817 4283051756 6424577634 8566103512 12849155268 25698310536 500046292513 1000092585026 1500138877539 2000185170052 3000277755078 4000370340104 6000555510156 12001111020312