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12131453124 = 2232731994937
BaseRepresentation
bin10110100110001011…
…10100100011000100
31011022110110200010200
423103011310203010
5144321122444444
65323443050500
7606425436000
oct132305644304
934273420120
1012131453124
11516598631a
122426970a30
1311b446b83b
14831279700
154b0089969
hex2d31748c4

12131453124 has 144 divisors (see below), whose sum is σ = 35948640000. Its totient is φ = 3448013184.

The previous prime is 12131453123. The next prime is 12131453137. The reversal of 12131453124 is 42135413121.

12131453124 is a `hidden beast` number, since 121 + 3 + 1 + 4 + 531 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131453123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2454784 + ... + 2459720.

Almost surely, 212131453124 is an apocalyptic number.

12131453124 is a gapful number since it is divisible by the number (14) 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 12131453124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17974320000).

12131453124 is an abundant number, since it is smaller than the sum of its proper divisors (23817186876).

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

12131453124 is a wasteful number, since it uses less digits than its factorization.

12131453124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5148 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 12131453124 its reverse (42135413121), we get a palindrome (54266866245).

The spelling of 12131453124 in words is "twelve billion, one hundred thirty-one million, four hundred fifty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 199 252 294 343 398 441 588 597 686 796 882 1029 1194 1372 1393 1764 1791 2058 2388 2786 3087 3582 4116 4179 4937 5572 6174 7164 8358 9751 9874 12348 12537 14811 16716 19502 19748 25074 29253 29622 34559 39004 44433 50148 58506 59244 68257 69118 87759 88866 103677 117012 136514 138236 175518 177732 204771 207354 241913 273028 311031 351036 409542 414708 483826 614313 622062 725739 819084 967652 982463 1228626 1244124 1451478 1693391 1964926 2177217 2457252 2902956 2947389 3386782 3929852 4354434 5080173 5894778 6773564 6877241 8708868 8842167 10160346 11789556 13754482 15240519 17684334 20320692 20631723 27508964 30481038 35368668 41263446 48140687 60962076 61895169 82526892 96281374 123790338 144422061 192562748 247580676 288844122 336984809 433266183 577688244 673969618 866532366 1010954427 1347939236 1733064732 2021908854 3032863281 4043817708 6065726562 12131453124