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12100001120 = 255731035959
BaseRepresentation
bin10110100010011011…
…10101110101100000
31011020021021202002122
423101031311311200
5144240100013440
65320401003412
7605564212124
oct132115656540
934207252078
1012100001120
11514a153a29
122418323568
1311aaaa899c
1482b00d584
154ac4257b5
hex2d1375d60

12100001120 has 48 divisors (see below), whose sum is σ = 28977873120. Its totient is φ = 4773694464.

The previous prime is 12100001101. The next prime is 12100001129. The reversal of 12100001120 is 2110000121.

12100001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12100001098 and 12100001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100001129) 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, 506300 + ... + 529659.

It is an arithmetic number, because the mean of its divisors is an integer number (603705690).

Almost surely, 212100001120 is an apocalyptic number.

12100001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100001120 is an abundant number, since it is smaller than the sum of its proper divisors (16877872000).

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

12100001120 is a wasteful number, since it uses less digits than its factorization.

12100001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036047 (or 1036039 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12100001120 its reverse (2110000121), we get a palindrome (14210001241).

Subtracting from 12100001120 its reverse (2110000121), we obtain a palindrome (9990000999).

It can be divided in two parts, 12100001 and 120, that added together give a palindrome (12100121).

The spelling of 12100001120 in words is "twelve billion, one hundred million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 1035959 2071918 4143836 5179795 8287672 10359590 16575344 20719180 33150688 41438360 75625007 82876720 151250014 165753440 302500028 378125035 605000056 756250070 1210000112 1512500140 2420000224 3025000280 6050000560 12100001120