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12120330112 = 271112976637
BaseRepresentation
bin10110100100110110…
…11000111110000000
31011021200112120020021
423102123120332000
5144310301030422
65322404423224
7606232051252
oct132233307600
934250476207
1012120330112
11515a679450
1224230a7b14
1311b2075a87
1482d9c1cd2
154ae0dddc7
hex2d26d8f80

12120330112 has 64 divisors (see below), whose sum is σ = 26365339440. Its totient is φ = 5504163840.

The previous prime is 12120330097. The next prime is 12120330113. The reversal of 12120330112 is 21103302121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120330113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1822858 + ... + 1829494.

Almost surely, 212120330112 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 12120330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182669720).

12120330112 is an abundant number, since it is smaller than the sum of its proper divisors (14245009328).

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

12120330112 is a wasteful number, since it uses less digits than its factorization.

12120330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7959 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12120330112 its reverse (21103302121), we get a palindrome (33223632233).

The spelling of 12120330112 in words is "twelve billion, one hundred twenty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1297 1408 2594 5188 6637 10376 13274 14267 20752 26548 28534 41504 53096 57068 73007 83008 106192 114136 146014 166016 212384 228272 292028 424768 456544 584056 849536 913088 1168112 1826176 2336224 4672448 8608189 9344896 17216378 34432756 68865512 94690079 137731024 189380158 275462048 378760316 550924096 757520632 1101848192 1515041264 3030082528 6060165056 12120330112