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12011232101 = 112709140009
BaseRepresentation
bin10110010111110110…
…01101101101100101
31011000002020210220012
423023323031231211
5144044333411401
65303510220005
7603435534251
oct131373155545
934002223805
1012011232101
115104033500
1223b2654605
13119559813b
1481d303261
154a473d8bb
hex2cbecdb65

12011232101 has 12 divisors (see below), whose sum is σ = 13221144300. Its totient is φ = 10903823040.

The previous prime is 12011232083. The next prime is 12011232119. The reversal of 12011232101 is 10123211021.

It is an interprime number because it is at equal distance from previous prime (12011232083) and next prime (12011232119).

It can be written as a sum of positive squares in 2 ways, for example, as 3705643876 + 8305588225 = 60874^2 + 91135^2 .

It is a de Polignac number, because none of the positive numbers 2k-12011232101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011232161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15785 + ... + 155793.

It is an arithmetic number, because the mean of its divisors is an integer number (1101762025).

Almost surely, 212011232101 is an apocalyptic number.

12011232101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011232101 is a deficient number, since it is larger than the sum of its proper divisors (1209912199).

12011232101 is a wasteful number, since it uses less digits than its factorization.

12011232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140740 (or 140729 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12011232101 its reverse (10123211021), we get a palindrome (22134443122).

The spelling of 12011232101 in words is "twelve billion, eleven million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 11 121 709 7799 85789 140009 1540099 16941089 99266381 1091930191 12011232101