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12126414352 = 2413472415147
BaseRepresentation
bin10110100101100101…
…00110011000010000
31011022002222200020111
423102302212120100
5144313330224402
65323143051104
7606334551463
oct132262463020
934262880214
1012126414352
115163054648
122425140a94
1311b33c6210
148307272da
154ae8e19d7
hex2d2ca6610

12126414352 has 80 divisors (see below), whose sum is σ = 25952838912. Its totient is φ = 5453936640.

The previous prime is 12126414331. The next prime is 12126414359. The reversal of 12126414352 is 25341462121.

It is not an unprimeable number, because it can be changed into a prime (12126414359) 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, 2353443 + ... + 2358589.

Almost surely, 212126414352 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 12126414352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976419456).

12126414352 is an abundant number, since it is smaller than the sum of its proper divisors (13826424560).

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

12126414352 is a wasteful number, since it uses less digits than its factorization.

12126414352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5450 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

Adding to 12126414352 its reverse (25341462121), we get a palindrome (37467876473).

The spelling of 12126414352 in words is "twelve billion, one hundred twenty-six million, four hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 241 376 482 611 752 964 1222 1928 2444 3133 3856 4888 5147 6266 9776 10294 11327 12532 20588 22654 25064 41176 45308 50128 66911 82352 90616 133822 147251 181232 241909 267644 294502 483818 535288 589004 967636 1070576 1178008 1240427 1935272 2356016 2480854 3144817 3870544 4961708 6289634 9923416 12579268 16125551 19846832 25158536 32251102 50317072 58300069 64502204 116600138 129004408 233200276 258008816 466400552 757900897 932801104 1515801794 3031603588 6063207176 12126414352