Search a number
-
+
12112000121 = 137189283521
BaseRepresentation
bin10110100011110111…
…00111010001111001
31011021002212100122002
423101323213101321
5144301133000441
65321510110345
7606101205464
oct132173472171
934232770562
1012112000121
1151559a9a61
12242034b3b5
1311b041a3a0
1482c8542db
154ad4e5b9b
hex2d1ee7479

12112000121 has 32 divisors (see below), whose sum is σ = 13449058560. Its totient is φ = 10839628800.

The previous prime is 12112000099. The next prime is 12112000127. The reversal of 12112000121 is 12100021121.

It is a de Polignac number, because none of the positive numbers 2k-12112000121 is a prime.

It is a super-3 number, since 3×121120001213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12112000127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23247341 + ... + 23247861.

It is an arithmetic number, because the mean of its divisors is an integer number (420283080).

Almost surely, 212112000121 is an apocalyptic number.

It is an amenable number.

12112000121 is a deficient number, since it is larger than the sum of its proper divisors (1337058439).

12112000121 is a wasteful number, since it uses less digits than its factorization.

12112000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12112000121 its reverse (12100021121), we get a palindrome (24212021242).

The spelling of 12112000121 in words is "twelve billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 71 89 283 521 923 1157 3679 6319 6773 20093 25187 36991 46369 82147 147443 261209 327431 480883 602797 1788277 1916759 3292199 10468453 13122427 23247601 42798587 136089889 170591551 931692317 12112000121