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12022011132 = 22319297324907
BaseRepresentation
bin10110011001001000…
…10101010011111100
31011000211112102221120
423030210111103330
5144110113324012
65304533230540
7603626260065
oct131444252374
934024472846
1012022011132
11510a12599a
1223b6192450
1311978a0471
1482090b56c
154a566c58c
hex2cc9154fc

12022011132 has 96 divisors (see below), whose sum is σ = 30965625600. Its totient is φ = 3615155712.

The previous prime is 12022011121. The next prime is 12022011139. The reversal of 12022011132 is 23111022021.

12022011132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022011139) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 470223 + ... + 495129.

It is an arithmetic number, because the mean of its divisors is an integer number (322558600).

Almost surely, 212022011132 is an apocalyptic number.

12022011132 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 12022011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482812800).

12022011132 is an abundant number, since it is smaller than the sum of its proper divisors (18943614468).

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

12022011132 is a wasteful number, since it uses less digits than its factorization.

12022011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25035 (or 25033 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12022011132 its reverse (23111022021), we get a palindrome (35133033153).

The spelling of 12022011132 in words is "twelve billion, twenty-two million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 73 76 87 114 116 146 174 219 228 292 348 438 551 876 1102 1387 1653 2117 2204 2774 3306 4161 4234 5548 6351 6612 8322 8468 12702 16644 24907 25404 40223 49814 74721 80446 99628 120669 149442 160892 241338 298884 473233 482676 722303 946466 1419699 1444606 1818211 1892932 2166909 2839398 2889212 3636422 4333818 5454633 5678796 7272844 8667636 10909266 13723757 21818532 27447514 34546009 41171271 52728119 54895028 69092018 82342542 103638027 105456238 138184036 158184357 164685084 207276054 210912476 316368714 414552108 632737428 1001834261 2003668522 3005502783 4007337044 6011005566 12022011132