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12100124142 = 2332311638377
BaseRepresentation
bin10110100010011100…
…10011110111101110
31011020021111222212000
423101032103313232
5144240112433032
65320403353130
7605565233601
oct132116236756
934207458760
1012100124142
11514a2283a7
1224183827a6
1311aab1c992
1482b042338
154ac44be7c
hex2d1393dee

12100124142 has 64 divisors (see below), whose sum is σ = 28085736960. Its totient is φ = 3854233152.

The previous prime is 12100124131. The next prime is 12100124143. The reversal of 12100124142 is 24142100121.

It is a super-2 number, since 2×121001241422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100124143) 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, 1440258 + ... + 1448634.

It is an arithmetic number, because the mean of its divisors is an integer number (438839640).

Almost surely, 212100124142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100124142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042868480).

12100124142 is an abundant number, since it is smaller than the sum of its proper divisors (15985612818).

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

12100124142 is a wasteful number, since it uses less digits than its factorization.

12100124142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12100124142 its reverse (24142100121), we get a palindrome (36242224263).

The spelling of 12100124142 in words is "twelve billion, one hundred million, one hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1163 1242 2326 3489 6978 8377 10467 16754 20934 25131 26749 31401 50262 53498 62802 75393 80247 150786 160494 192671 226179 240741 385342 452358 481482 578013 722223 1156026 1444446 1734039 3468078 5202117 9742451 10404234 19484902 29227353 58454706 87682059 175364118 224076373 263046177 448152746 526092354 672229119 1344458238 2016687357 4033374714 6050062071 12100124142