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12031300113012 = 22322232243668153
BaseRepresentation
bin1010111100010100000101…
…0111101001001001110100
31120121011212222202120221100
42233011001113221021310
53034110100312104022
641331034124050100
72351142555412215
oct257050127511164
946534788676840
1012031300113012
11391949a292aa4
1214238b6093930
1369371522c20b
142d846497740c
1515ce65c5d1ac
hexaf1415e9274

12031300113012 has 72 divisors (see below), whose sum is σ = 30562497149184. Its totient is φ = 3990663432576.

The previous prime is 12031300112987. The next prime is 12031300113047. The reversal of 12031300113012 is 21031100313021.

12031300113012 is a `hidden beast` number, since 1 + 20 + 31 + 300 + 11 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 17672728 + ... + 18340880.

It is an arithmetic number, because the mean of its divisors is an integer number (424479127072).

Almost surely, 212031300113012 is an apocalyptic number.

12031300113012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12031300113012 is an abundant number, since it is smaller than the sum of its proper divisors (18531197036172).

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

12031300113012 is a wasteful number, since it uses less digits than its factorization.

12031300113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670629 (or 670624 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12031300113012 its reverse (21031100313021), we get a palindrome (33062400426033).

The spelling of 12031300113012 in words is "twelve trillion, thirty-one billion, three hundred million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2243 2676 4014 4486 6729 8028 8972 13458 20187 26916 40374 80748 500189 668153 1000378 1336306 1500567 2000756 2004459 2672612 3001134 4008918 4501701 6002268 6013377 8017836 9003402 12026754 18006804 24053508 148998119 297996238 446994357 595992476 893988714 1340983071 1498667179 1787977428 2681966142 2997334358 4496001537 5363932284 5994668716 8992003074 13488004611 17984006148 26976009222 53952018444 334202780917 668405561834 1002608342751 1336811123668 2005216685502 3007825028253 4010433371004 6015650056506 12031300113012