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12066003312 = 24311149153371
BaseRepresentation
bin10110011110011000…
…01001100101110000
31011010220022110212120
423033030021211300
5144202344101222
65313144154240
7605002223136
oct131714114560
934126273776
1012066003312
115131a42970
122408a68980
1311a3a3413c
148266bd756
154a945c15c
hex2cf309970

12066003312 has 80 divisors (see below), whose sum is σ = 34232630400. Its totient is φ = 3631801600.

The previous prime is 12066003259. The next prime is 12066003331. The reversal of 12066003312 is 21330066021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 155357.

It is an arithmetic number, because the mean of its divisors is an integer number (427907880).

Almost surely, 212066003312 is an apocalyptic number.

12066003312 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 12066003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116315200).

12066003312 is an abundant number, since it is smaller than the sum of its proper divisors (22166627088).

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

12066003312 is a wasteful number, since it uses less digits than its factorization.

12066003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153542 (or 153536 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12066003312 its reverse (21330066021), we get a palindrome (33396069333).

The spelling of 12066003312 in words is "twelve billion, sixty-six million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 894 1192 1639 1788 2384 3278 3576 4917 6556 7152 9834 13112 19668 26224 39336 78672 153371 306742 460113 613484 920226 1226968 1687081 1840452 2453936 3374162 3680904 5061243 6748324 7361808 10122486 13496648 20244972 22852279 26993296 40489944 45704558 68556837 80979888 91409116 137113674 182818232 251375069 274227348 365636464 502750138 548454696 754125207 1005500276 1096909392 1508250414 2011000552 3016500828 4022001104 6033001656 12066003312