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12031032312 = 233213123710391
BaseRepresentation
bin10110011010001101…
…01111101111111000
31011001110111202200100
423031012233233320
5144114421013222
65305454435400
7604066041645
oct131506575770
934043452610
1012031032312
115114227712
1223b9202b60
13119970b640
14821bb8dcc
154a63504ac
hex2cd1afbf8

12031032312 has 96 divisors (see below), whose sum is σ = 35122258080. Its totient is φ = 3698507520.

The previous prime is 12031032217. The next prime is 12031032319. The reversal of 12031032312 is 21323013021.

12031032312 is a `hidden beast` number, since 1 + 20 + 310 + 323 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031032319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152637 + ... + 1163027.

It is an arithmetic number, because the mean of its divisors is an integer number (365856855).

Almost surely, 212031032312 is an apocalyptic number.

12031032312 is a gapful number since it is divisible by the number (12) 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 12031032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561129040).

12031032312 is an abundant number, since it is smaller than the sum of its proper divisors (23091225768).

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

12031032312 is a wasteful number, since it uses less digits than its factorization.

12031032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11653 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12031032312 its reverse (21323013021), we get a palindrome (33354045333).

The spelling of 12031032312 in words is "twelve billion, thirty-one million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1237 2474 3711 4948 7422 9896 10391 11133 14844 16081 20782 22266 29688 31173 32162 41564 44532 48243 62346 64324 83128 89064 93519 96486 124692 128648 135083 144729 187038 192972 249384 270166 289458 374076 385944 405249 540332 578916 748152 810498 1080664 1157832 1215747 1620996 2431494 3241992 4862988 9725976 12853667 25707334 38561001 51414668 77122002 102829336 115683003 154244004 167097671 231366006 308488008 334195342 462732012 501293013 668390684 925464024 1002586026 1336781368 1503879039 2005172052 3007758078 4010344104 6015516156 12031032312