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12201012032 = 2611192339659
BaseRepresentation
bin10110101110011110…
…01010101101000000
31011111022100122000112
423113033022231000
5144441424341112
65334410010452
7611231614436
oct132717125500
934438318015
1012201012032
1151a1175a20
122446116a28
1311c59b4661
1483a5c4d56
154b6229a22
hex2d73cab40

12201012032 has 112 divisors (see below), whose sum is σ = 29012083200. Its totient is φ = 5025461760.

The previous prime is 12201012001. The next prime is 12201012041. The reversal of 12201012032 is 23021010221.

It is a happy number.

12201012032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12201011998 and 12201012016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287819 + ... + 327477.

Almost surely, 212201012032 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 12201012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506041600).

12201012032 is an abundant number, since it is smaller than the sum of its proper divisors (16811071168).

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

12201012032 is a wasteful number, since it uses less digits than its factorization.

12201012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39724 (or 39714 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12201012032 its reverse (23021010221), we get a palindrome (35222022253).

The spelling of 12201012032 in words is "twelve billion, two hundred one million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 152 176 184 209 253 304 352 368 418 437 506 608 704 736 836 874 1012 1216 1472 1672 1748 2024 3344 3496 4048 4807 6688 6992 8096 9614 13376 13984 16192 19228 27968 38456 39659 76912 79318 153824 158636 307648 317272 436249 634544 753521 872498 912157 1269088 1507042 1744996 1824314 2538176 3014084 3489992 3648628 6028168 6979984 7297256 8288731 10033727 12056336 13959968 14594512 16577462 17330983 20067454 24112672 27919936 29189024 33154924 34661966 40134908 48225344 58378048 66309848 69323932 80269816 132619696 138647864 160539632 190640813 265239392 277295728 321079264 381281626 530478784 554591456 642158528 762563252 1109182912 1525126504 3050253008 6100506016 12201012032