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12455212520 = 23517137133697
BaseRepresentation
bin10111001100110001…
…10111010111101000
31012011000200100112102
423212120313113220
5201002013300040
65415530232532
7620436362642
oct134630672750
935130610472
1012455212520
115311708573
1224b7285748
131236567c4a
14862275892
154cd6dd515
hex2e66375e8

12455212520 has 64 divisors (see below), whose sum is σ = 29889524880. Its totient is φ = 4654759936.

The previous prime is 12455212507. The next prime is 12455212529. The reversal of 12455212520 is 2521255421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4435293604 + 8019918916 = 66598^2 + 89554^2 .

It is not an unprimeable number, because it can be changed into a prime (12455212529) by changing a digit.

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, 26312 + ... + 160008.

Almost surely, 212455212520 is an apocalyptic number.

12455212520 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 12455212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944762440).

12455212520 is an abundant number, since it is smaller than the sum of its proper divisors (17434312360).

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

12455212520 is a wasteful number, since it uses less digits than its factorization.

12455212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133862 (or 133858 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 12455212520 its reverse (2521255421), we get a palindrome (14976467941).

The spelling of 12455212520 in words is "twelve billion, four hundred fifty-five million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 137 170 274 340 548 680 685 1096 1370 2329 2740 4658 5480 9316 11645 18632 23290 46580 93160 133697 267394 534788 668485 1069576 1336970 2272849 2673940 4545698 5347880 9091396 11364245 18182792 18316489 22728490 36632978 45456980 73265956 90913960 91582445 146531912 183164890 311380313 366329780 622760626 732659560 1245521252 1556901565 2491042504 3113803130 6227606260 12455212520