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12545200120 = 235439775193
BaseRepresentation
bin10111010111100000…
…01000111111111000
31012101022000012022111
423223300020333320
5201143032400440
65432503102104
7622611304315
oct135360107770
935338005274
1012545200120
115358490592
122521441934
13124c0b434b
148701bbd0c
154d65664ea
hex2ebc08ff8

12545200120 has 64 divisors (see below), whose sum is σ = 29181287520. Its totient is φ = 4850786304.

The previous prime is 12545200093. The next prime is 12545200139. The reversal of 12545200120 is 2100254521.

It is a junction number, because it is equal to n+sod(n) for n = 12545200091 and 12545200100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129244 + ... + 204436.

Almost surely, 212545200120 is an apocalyptic number.

12545200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12545200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14590643760).

12545200120 is an abundant number, since it is smaller than the sum of its proper divisors (16636087400).

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

12545200120 is a wasteful number, since it uses less digits than its factorization.

12545200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75344 (or 75340 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 12545200120 its reverse (2100254521), we get a palindrome (14645454641).

The spelling of 12545200120 in words is "twelve billion, five hundred forty-five million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 97 172 194 215 344 388 430 485 776 860 970 1720 1940 3880 4171 8342 16684 20855 33368 41710 75193 83420 150386 166840 300772 375965 601544 751930 1503860 3007720 3233299 6466598 7293721 12933196 14587442 16166495 25866392 29174884 32332990 36468605 58349768 64665980 72937210 129331960 145874420 291748840 313630003 627260006 1254520012 1568150015 2509040024 3136300030 6272600060 12545200120