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12113112312 = 2332729828757
BaseRepresentation
bin10110100011111111…
…10110110011111000
31011021011221212021100
423101333312303320
5144301424043222
65321550011400
7606113520150
oct132177666370
934234855240
1012113112312
115156599624
1224207a6b60
1311b07196a2
1482ca63760
154ad6654ac
hex2d1ff6cf8

12113112312 has 96 divisors (see below), whose sum is σ = 38785874400. Its totient is φ = 3341544192.

The previous prime is 12113112301. The next prime is 12113112373. The reversal of 12113112312 is 21321131121.

12113112312 is a `hidden beast` number, since 121 + 1 + 311 + 231 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 399763 + ... + 428994.

It is an arithmetic number, because the mean of its divisors is an integer number (404019525).

Almost surely, 212113112312 is an apocalyptic number.

12113112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12113112312 is an abundant number, since it is smaller than the sum of its proper divisors (26672762088).

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

12113112312 is a wasteful number, since it uses less digits than its factorization.

12113112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828805 (or 828798 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12113112312 its reverse (21321131121), we get a palindrome (33434243433).

The spelling of 12113112312 in words is "twelve billion, one hundred thirteen million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 14616 828757 1657514 2486271 3315028 4972542 5801299 6630056 7458813 9945084 11602598 14917626 17403897 19890168 23205196 24033953 29835252 34807794 46410392 48067906 52211691 59670504 69615588 72101859 96135812 104423382 139231176 144203718 168237671 192271624 208846764 216305577 288407436 336475342 417693528 432611154 504713013 576814872 672950684 865222308 1009426026 1345901368 1514139039 1730444616 2018852052 3028278078 4037704104 6056556156 12113112312