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12136063122 = 232173373709
BaseRepresentation
bin10110100110101110…
…11010000010010010
31011022210010212212100
423103113122002102
5144323313004442
65324125541230
7606512556141
oct132327320222
934283125770
1012136063122
115168544937
122428414816
1311b53c3c51
14831b19758
154b069a84c
hex2d35da092

12136063122 has 96 divisors (see below), whose sum is σ = 28700708400. Its totient is φ = 3703491072.

The previous prime is 12136063103. The next prime is 12136063127. The reversal of 12136063122 is 22136063121.

12136063122 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 6 + 0 + 631 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7926518961 + 4209544161 = 89031^2 + 64881^2 .

It is not an unprimeable number, because it can be changed into a prime (12136063127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3270204 + ... + 3273912.

Almost surely, 212136063122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12136063122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350354200).

12136063122 is an abundant number, since it is smaller than the sum of its proper divisors (16564645278).

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

12136063122 is a wasteful number, since it uses less digits than its factorization.

12136063122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Subtracting 12136063122 from its reverse (22136063121), we obtain a palindrome (9999999999).

The spelling of 12136063122 in words is "twelve billion, one hundred thirty-six million, sixty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 289 306 333 578 629 666 867 1258 1734 1887 2601 3709 3774 4913 5202 5661 7418 9826 10693 11127 11322 14739 21386 22254 29478 32079 33381 44217 63053 64158 66762 88434 96237 126106 137233 181781 189159 192474 274466 363562 378318 411699 545343 567477 823398 1071901 1090686 1134954 1235097 1636029 2143802 2332961 2470194 3215703 3272058 4665922 6431406 6998883 9647109 13997766 18222317 19294218 20996649 36444634 39660337 41993298 54666951 79320674 109333902 118981011 164000853 237962022 328001706 356943033 674225729 713886066 1348451458 2022677187 4045354374 6068031561 12136063122