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12112001120 = 255509148723
BaseRepresentation
bin10110100011110111…
…00111100001100000
31011021002212102000002
423101323213201200
5144301133013440
65321510115132
7606101211422
oct132173474140
934232772002
1012112001120
1151559aa78a
12242034baa8
1311b041a98b
1482c854812
154ad4e6115
hex2d1ee7860

12112001120 has 48 divisors (see below), whose sum is σ = 28671012720. Its totient is φ = 4835249664.

The previous prime is 12112001107. The next prime is 12112001129. The reversal of 12112001120 is 2110021121.

12112001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121120011202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7079 + ... + 155801.

It is an arithmetic number, because the mean of its divisors is an integer number (597312765).

Almost surely, 212112001120 is an apocalyptic number.

12112001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112001120 is an abundant number, since it is smaller than the sum of its proper divisors (16559011600).

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

12112001120 is a wasteful number, since it uses less digits than its factorization.

12112001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149247 (or 149239 counting only the distinct ones).

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

Adding to 12112001120 its reverse (2110021121), we get a palindrome (14222022241).

The spelling of 12112001120 in words is "twelve billion, one hundred twelve million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 509 1018 2036 2545 4072 5090 8144 10180 16288 20360 40720 81440 148723 297446 594892 743615 1189784 1487230 2379568 2974460 4759136 5948920 11897840 23795680 75700007 151400014 302800028 378500035 605600056 757000070 1211200112 1514000140 2422400224 3028000280 6056000560 12112001120