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12100120312 = 237298983717
BaseRepresentation
bin10110100010011100…
…10010111011111000
31011020021111210121011
423101032102323320
5144240112322222
65320403323304
7605565216460
oct132116227370
934207453534
1012100120312
11514a225535
122418380534
1311aab1b007
1482b040ba0
154ac44ac77
hex2d1392ef8

12100120312 has 64 divisors (see below), whose sum is σ = 27124632000. Its totient is φ = 4950629376.

The previous prime is 12100120309. The next prime is 12100120313. The reversal of 12100120312 is 21302100121.

It is a junction number, because it is equal to n+sod(n) for n = 12100120292 and 12100120301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100120313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102678 + ... + 186394.

It is an arithmetic number, because the mean of its divisors is an integer number (423822375).

Almost surely, 212100120312 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 12100120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562316000).

12100120312 is an abundant number, since it is smaller than the sum of its proper divisors (15024511688).

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

12100120312 is a wasteful number, since it uses less digits than its factorization.

12100120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83848 (or 83844 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12100120312 its reverse (21302100121), we get a palindrome (33402220433).

The spelling of 12100120312 in words is "twelve billion, one hundred million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 56 58 89 116 178 203 232 356 406 623 712 812 1246 1624 2492 2581 4984 5162 10324 18067 20648 36134 72268 83717 144536 167434 334868 586019 669736 1172038 2344076 2427793 4688152 4855586 7450813 9711172 14901626 16994551 19422344 29803252 33989102 52155691 59606504 67978204 104311382 135956408 208622764 216073577 417245528 432147154 864294308 1512515039 1728588616 3025030078 6050060156 12100120312