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12351020352 = 263115999119
BaseRepresentation
bin10111000000010110…
…11001110101000000
31011212202121211202020
423200023121311000
5200243330122402
65401325121440
7615032640456
oct134013316500
934782554666
1012351020352
115268913440
1224883b9280
13121aab7288
148524b29d6
154c44ab8bc
hex2e02d9d40

12351020352 has 112 divisors (see below), whose sum is σ = 36254131200. Its totient is φ = 3679260160.

The previous prime is 12351020267. The next prime is 12351020369. The reversal of 12351020352 is 25302015321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75049 + ... + 174167.

It is an arithmetic number, because the mean of its divisors is an integer number (323697600).

Almost surely, 212351020352 is an apocalyptic number.

12351020352 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 12351020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127065600).

12351020352 is an abundant number, since it is smaller than the sum of its proper divisors (23903110848).

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

12351020352 is a wasteful number, since it uses less digits than its factorization.

12351020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99204 (or 99194 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 12351020352 its reverse (25302015321), we get a palindrome (37653035673).

The spelling of 12351020352 in words is "twelve billion, three hundred fifty-one million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 132 176 177 192 236 264 352 354 472 528 649 704 708 944 1056 1298 1416 1888 1947 2112 2596 2832 3776 3894 5192 5664 7788 10384 11328 15576 20768 31152 41536 62304 99119 124608 198238 297357 396476 594714 792952 1090309 1189428 1585904 2180618 2378856 3171808 3270927 4361236 4757712 5848021 6343616 6541854 8722472 9515424 11696042 13083708 17444944 17544063 19030848 23392084 26167416 34889888 35088126 46784168 52334832 64328231 69779776 70176252 93568336 104669664 128656462 140352504 187136672 192984693 209339328 257312924 280705008 374273344 385969386 514625848 561410016 771938772 1029251696 1122820032 1543877544 2058503392 3087755088 4117006784 6175510176 12351020352