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12100300112 = 242940165033
BaseRepresentation
bin10110100010011101…
…11110110101010000
31011020021211221020102
423101032332311100
5144240134100422
65320411231532
7605566565615
oct132116766520
934207757212
1012100300112
11514a33862a
1224184485a8
1311aab81ac4
1482b08a50c
154ac484192
hex2d13bed50

12100300112 has 40 divisors (see below), whose sum is σ = 24313611240. Its totient is φ = 5826867200.

The previous prime is 12100300073. The next prime is 12100300127. The reversal of 12100300112 is 21100300121.

It can be written as a sum of positive squares in 4 ways, for example, as 8726549056 + 3373751056 = 93416^2 + 58084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12100300093 and 12100300102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153548 + ... + 218580.

It is an arithmetic number, because the mean of its divisors is an integer number (607840281).

Almost surely, 212100300112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156805620).

12100300112 is an abundant number, since it is smaller than the sum of its proper divisors (12213311128).

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

12100300112 is a wasteful number, since it uses less digits than its factorization.

12100300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65471 (or 65465 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12100300112 its reverse (21100300121), we get a palindrome (33200600233).

Subtracting 12100300112 from its reverse (21100300121), we obtain a palindrome (9000000009).

The spelling of 12100300112 in words is "twelve billion, one hundred million, three hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 401 464 802 1604 3208 6416 11629 23258 46516 65033 93032 130066 186064 260132 520264 1040528 1885957 3771914 7543828 15087656 26078233 30175312 52156466 104312932 208625864 417251728 756268757 1512537514 3025075028 6050150056 12100300112