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12112111312301 = 7211132961977147
BaseRepresentation
bin1011000001000001001000…
…0101111001110110101101
31120212220110212021212011102
42300100102011321312231
53041421100443443201
641432121020332445
72360033260313300
oct260202205716655
946786425255142
1012112111312301
11394a79908a110
1214374a96a4125
1369b2234385c0
142dc32d354b37
151600e556726b
hexb0412179dad

12112111312301 has 96 divisors (see below), whose sum is σ = 17404334801280. Its totient is φ = 8273690611200.

The previous prime is 12112111312297. The next prime is 12112111312303. The reversal of 12112111312301 is 10321311121121.

It is not a de Polignac number, because 12112111312301 - 22 = 12112111312297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112111312303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11906810 + ... + 12883956.

It is an arithmetic number, because the mean of its divisors is an integer number (181295154180).

Almost surely, 212112111312301 is an apocalyptic number.

12112111312301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112111312301 is a deficient number, since it is larger than the sum of its proper divisors (5292223488979).

12112111312301 is a wasteful number, since it uses less digits than its factorization.

12112111312301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977275 (or 977268 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 12112111312301 its reverse (10321311121121), we get a palindrome (22433422433422).

The spelling of 12112111312301 in words is "twelve trillion, one hundred twelve billion, one hundred eleven million, three hundred twelve thousand, three hundred one".

Divisors: 1 7 11 13 29 49 61 77 91 143 203 319 377 427 539 637 671 793 1001 1421 1769 2233 2639 2989 4147 4697 5551 7007 8723 12383 15631 18473 19459 22997 29029 32879 38857 61061 86681 136213 160979 203203 252967 427427 953491 977147 1126853 1770769 6840029 10748617 12395383 12702911 28337263 47880203 59605967 75240319 88920377 139732021 198360841 311709893 368384419 417241769 526682233 622442639 655665637 774877571 978124147 1388525887 1728573043 2181969251 2578690933 2920692383 4052228609 4589659459 5424142997 6846869029 8523653281 12100011301 15273784757 18050836531 19014303473 22471449559 28365600263 32127616213 37969000979 59665572967 84700079107 133100124311 157300146913 198559201841 247185945149 417659010769 931700870177 1101101028391 1730301616043 12112111312301