Search a number
-
+
12000011112 = 2333531048219
BaseRepresentation
bin10110010110100000…
…11010001101101000
31010222022010201121000
423023100122031220
5144034000323422
65302425515000
7603241261065
oct131320321550
933868121530
1012000011112
1150a8769a61
1223aa942a60
1311931698bb
1481ba21c6c
154a3773cac
hex2cb41a368

12000011112 has 64 divisors (see below), whose sum is σ = 33962328000. Its totient is φ = 3924528192.

The previous prime is 12000011087. The next prime is 12000011113. The reversal of 12000011112 is 21111000021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000011094 and 12000011103.

It is not an unprimeable number, because it can be changed into a prime (12000011113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512662 + ... + 535557.

It is an arithmetic number, because the mean of its divisors is an integer number (530661375).

Almost surely, 212000011112 is an apocalyptic number.

12000011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000011112 is an abundant number, since it is smaller than the sum of its proper divisors (21962316888).

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

12000011112 is a wasteful number, since it uses less digits than its factorization.

12000011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048287 (or 1048277 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000011112 its reverse (21111000021), we get a palindrome (33111011133).

The spelling of 12000011112 in words is "twelve billion, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448 1048219 2096438 3144657 4192876 6289314 8385752 9433971 12578628 18867942 25157256 28301913 37735884 55555607 56603826 75471768 111111214 113207652 166666821 222222428 226415304 333333642 444444856 500000463 666667284 1000000926 1333334568 1500001389 2000001852 3000002778 4000003704 6000005556 12000011112