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12122033011132 = 22111925849130477
BaseRepresentation
bin1011000001100110000101…
…1110001011100110111100
31120220212002022201101021111
42300121201132023212330
53042101410422324012
641440441325011404
72360534164336042
oct260314136134674
946825068641244
1012122033011132
113953a1a683310
1214393b83b3b64
1369c144b3ba05
142dc9d0d34392
151604c6609ba7
hexb066178b9bc

12122033011132 has 72 divisors (see below), whose sum is σ = 24428534785200. Its totient is φ = 5219081752320.

The previous prime is 12122033011093. The next prime is 12122033011133. The reversal of 12122033011132 is 23111033022121.

12122033011132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122033011133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92840278 + ... + 92970754.

It is an arithmetic number, because the mean of its divisors is an integer number (339285205350).

Almost surely, 212122033011132 is an apocalyptic number.

It is an amenable number.

12122033011132 is an abundant number, since it is smaller than the sum of its proper divisors (12306501774068).

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

12122033011132 is a wasteful number, since it uses less digits than its factorization.

12122033011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136379 (or 136358 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12122033011132 its reverse (23111033022121), we get a palindrome (35233066033253).

The spelling of 12122033011132 in words is "twelve trillion, one hundred twenty-two billion, thirty-three million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 11 19 22 38 44 76 209 361 418 722 836 1444 3971 5849 7942 11698 15884 23396 64339 111131 128678 130477 222262 257356 260954 444524 521908 1222441 1435247 2111489 2444882 2479063 2870494 4222978 4889764 4958126 5740988 8445956 9916252 23226379 27269693 46452758 47102197 54539386 92905516 94204394 109078772 188408788 518124167 763159973 1036248334 1526319946 2072496668 3052639892 8394759703 14500039487 16789519406 29000078974 33579038812 58000157948 159500434357 275500750253 319000868714 551001500506 638001737428 1102003001012 3030508252783 6061016505566 12122033011132