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12132014125 = 537211237829
BaseRepresentation
bin10110100110001111…
…11101100000101101
31011022111112011200111
423103013331200231
5144321243423000
65323503100021
7606433263400
oct132307754055
934274464614
1012132014125
115166229860
122426ba1611
1311b4606caa
14831383d37
154b014acba
hex2d31fd82d

12132014125 has 96 divisors (see below), whose sum is σ = 20051815680. Its totient is φ = 7233072000.

The previous prime is 12132014119. The next prime is 12132014129. The reversal of 12132014125 is 52141023121.

It is not a de Polignac number, because 12132014125 - 25 = 12132014093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132014096 and 12132014105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132014129) 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 95 ways as a sum of consecutive naturals, for example, 1545711 + ... + 1553539.

It is an arithmetic number, because the mean of its divisors is an integer number (208873080).

Almost surely, 212132014125 is an apocalyptic number.

It is an amenable number.

12132014125 is a deficient number, since it is larger than the sum of its proper divisors (7919801555).

12132014125 is a wasteful number, since it uses less digits than its factorization.

12132014125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 12132014125 its reverse (52141023121), we get a palindrome (64273037246).

The spelling of 12132014125 in words is "twelve billion, one hundred thirty-two million, fourteen thousand, one hundred twenty-five".

Divisors: 1 5 7 11 23 25 35 49 55 77 115 125 161 175 245 253 275 385 539 575 805 875 1127 1225 1265 1375 1771 1925 2695 2875 4025 5635 6125 6325 7829 8855 9625 12397 13475 20125 28175 31625 39145 44275 54803 61985 67375 86119 140875 180067 195725 221375 274015 309925 383621 430595 602833 900335 978625 1260469 1370075 1549625 1918105 1980737 2152975 3014165 4219831 4501675 6302345 6850375 8823283 9590525 9903685 10764875 13865159 15070825 21099155 22508375 31511725 44116415 47952625 49518425 69325795 75354125 97056113 105495775 157558625 220582075 247592125 346628975 485280565 527478875 1102910375 1733144875 2426402825 12132014125