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12131120010 = 2354312774047
BaseRepresentation
bin10110100110001001…
…00011001110001010
31011022102211202012010
423103010203032022
5144321031320020
65323432000350
7606422550552
oct132304431612
934272752163
1012131120010
115165779019
1224268300b6
1311b4383029
148311d0162
154b0020de0
hex2d312338a

12131120010 has 64 divisors (see below), whose sum is σ = 30026760192. Its totient is φ = 3134811456.

The previous prime is 12131120003. The next prime is 12131120017. The reversal of 12131120010 is 1002113121.

It is an interprime number because it is at equal distance from previous prime (12131120003) and next prime (12131120017).

It is not an unprimeable number, because it can be changed into a prime (12131120017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126807 + ... + 200853.

It is an arithmetic number, because the mean of its divisors is an integer number (469168128).

Almost surely, 212131120010 is an apocalyptic number.

12131120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013380096).

12131120010 is an abundant number, since it is smaller than the sum of its proper divisors (17895640182).

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

12131120010 is a wasteful number, since it uses less digits than its factorization.

12131120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74227.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12131120010 its reverse (1002113121), we get a palindrome (13133233131).

The spelling of 12131120010 in words is "twelve billion, one hundred thirty-one million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 127 129 215 254 258 381 430 635 645 762 1270 1290 1905 3810 5461 10922 16383 27305 32766 54610 74047 81915 148094 163830 222141 370235 444282 740470 1110705 2221410 3184021 6368042 9403969 9552063 15920105 18807938 19104126 28211907 31840210 47019845 47760315 56423814 94039690 95520630 141059535 282119070 404370667 808741334 1213112001 2021853335 2426224002 4043706670 6065560005 12131120010