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12031322208 = 2533123317351
BaseRepresentation
bin10110011010001111…
…10110100001100000
31011001111001111100020
423031013312201200
5144120004302313
65305504553440
7604101360063
oct131507664140
934044044306
1012031322208
1151144054a4
1223b9322880
1311997b0589
14821c528da
154a63ab323
hex2cd1f6860

12031322208 has 96 divisors (see below), whose sum is σ = 32742807552. Its totient is φ = 3864192000.

The previous prime is 12031322167. The next prime is 12031322231. The reversal of 12031322208 is 80222313021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 684733 + ... + 702083.

It is an arithmetic number, because the mean of its divisors is an integer number (341070912).

Almost surely, 212031322208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031322208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371403776).

12031322208 is an abundant number, since it is smaller than the sum of its proper divisors (20711485344).

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

12031322208 is a wasteful number, since it uses less digits than its factorization.

12031322208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17628 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12031322208 its reverse (80222313021), we get a palindrome (92253635229).

The spelling of 12031322208 in words is "twelve billion, thirty-one million, three hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 233 248 372 466 496 699 744 932 992 1398 1488 1864 2796 2976 3728 5592 7223 7456 11184 14446 17351 21669 22368 28892 34702 43338 52053 57784 69404 86676 104106 115568 138808 173352 208212 231136 277616 346704 416424 537881 555232 693408 832848 1075762 1613643 1665696 2151524 3227286 4042783 4303048 6454572 8085566 8606096 12128349 12909144 16171132 17212192 24256698 25818288 32342264 48513396 51636576 64684528 97026792 125326273 129369056 194053584 250652546 375978819 388107168 501305092 751957638 1002610184 1503915276 2005220368 3007830552 4010440736 6015661104 12031322208