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12512242332 = 223253137151317
BaseRepresentation
bin10111010011100100…
…11010101010011100
31012021222222202201200
423221302122222130
5201111113223312
65425324435500
7622031206422
oct135162325234
935258882650
1012512242332
11534091a947
1225123a8b90
131245314cb5
14869a7d112
154d37060dc
hex2e9c9aa9c

12512242332 has 144 divisors (see below), whose sum is σ = 32778188352. Its totient is φ = 4022553600.

The previous prime is 12512242331. The next prime is 12512242373. The reversal of 12512242332 is 23324221521.

It is a junction number, because it is equal to n+sod(n) for n = 12512242296 and 12512242305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12512242331) 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, 39470638 + ... + 39470954.

It is an arithmetic number, because the mean of its divisors is an integer number (227626308).

Almost surely, 212512242332 is an apocalyptic number.

12512242332 is a gapful number since it is divisible by the number (12) 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 12512242332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389094176).

12512242332 is an abundant number, since it is smaller than the sum of its proper divisors (20265946020).

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

12512242332 is a wasteful number, since it uses less digits than its factorization.

12512242332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 663 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 12512242332 its reverse (23324221521), we get a palindrome (35836463853).

The spelling of 12512242332 in words is "twelve billion, five hundred twelve million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 137 151 159 212 274 302 317 318 411 453 477 548 604 634 636 822 906 951 954 1233 1268 1359 1644 1812 1902 1908 2466 2718 2853 3804 4932 5436 5706 7261 8003 11412 14522 16006 16801 20687 21783 24009 29044 32012 33602 41374 43429 43566 47867 48018 50403 62061 65349 67204 72027 82748 86858 87132 95734 96036 100806 124122 130287 130698 143601 144054 151209 173716 186183 191468 201612 248244 260574 261396 287202 288108 302418 372366 390861 430803 521148 574404 604836 744732 781722 861606 1096411 1563444 1723212 2192822 2301737 2536951 3289233 4385644 4603474 5073902 6557779 6578466 6905211 7610853 9206948 9867699 10147804 13115558 13156932 13810422 15221706 19673337 19735398 20715633 22832559 26231116 27620844 30443412 39346674 39470796 41431266 45665118 59020011 78693348 82862532 91330236 118040022 236080044 347562287 695124574 1042686861 1390249148 2085373722 3128060583 4170747444 6256121166 12512242332