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12111120011001 = 31114332297111497
BaseRepresentation
bin1011000000111101011100…
…0000011000111011111001
31120212210220202222112102110
42300033113000120323321
53041412033210323001
641431434405322533
72356666562352114
oct260172700307371
946783822875373
1012111120011001
11394a32a567840
121437271706449
1369b0c5c5589b
142dc27782d57b
151600885033d6
hexb03d7018ef9

12111120011001 has 32 divisors (see below), whose sum is σ = 17636300512128. Its totient is φ = 7331691530240.

The previous prime is 12111120010973. The next prime is 12111120011033. The reversal of 12111120011001 is 10011002111121.

12111120011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12111120011001 - 26 = 12111120010937 is a prime.

It is a super-2 number, since 2×121111200110012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12111120011401) 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, 108567085 + ... + 108678581.

It is an arithmetic number, because the mean of its divisors is an integer number (551134391004).

Almost surely, 212111120011001 is an apocalyptic number.

12111120011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111120011001 is a deficient number, since it is larger than the sum of its proper divisors (5525180501127).

12111120011001 is a wasteful number, since it uses less digits than its factorization.

12111120011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115241.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12111120011001 its reverse (10011002111121), we get a palindrome (22122122122122).

The spelling of 12111120011001 in words is "twelve trillion, one hundred eleven billion, one hundred twenty million, eleven thousand, one".

Divisors: 1 3 11 33 1433 2297 4299 6891 15763 25267 47289 75801 111497 334491 1226467 3291601 3679401 9874803 36207611 108622833 159775201 256108609 479325603 768325827 1757527211 2817194699 5272581633 8451584097 367003636697 1101010910091 4037040003667 12111120011001