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12122052030 = 23351116192521
BaseRepresentation
bin10110100101000011…
…11101010110111110
31011021210210001021000
423102201331112332
5144311221131110
65322505351130
7606252512364
oct132241752676
934253701230
1012122052030
115160645120
1224237984a6
1311b252976a
1482dd0d634
154ae32e1c0
hex2d287d5be

12122052030 has 128 divisors (see below), whose sum is σ = 35299929600. Its totient is φ = 2935699200.

The previous prime is 12122052013. The next prime is 12122052077. The reversal of 12122052030 is 3025022121.

12122052030 is a `hidden beast` number, since 121 + 2 + 20 + 520 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122051994 and 12122052012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4807170 + ... + 4809690.

It is an arithmetic number, because the mean of its divisors is an integer number (275780700).

Almost surely, 212122052030 is an apocalyptic number.

12122052030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122052030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649964800).

12122052030 is an abundant number, since it is smaller than the sum of its proper divisors (23177877570).

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

12122052030 is a wasteful number, since it uses less digits than its factorization.

12122052030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12122052030 its reverse (3025022121), we get a palindrome (15147074151).

The spelling of 12122052030 in words is "twelve billion, one hundred twenty-two million, fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 1619 2521 2970 3238 4857 5042 7563 8095 9714 12605 14571 15126 16190 17809 22689 24285 25210 27731 29142 35618 37815 43713 45378 48570 53427 55462 68067 72855 75630 83193 87426 89045 106854 113445 136134 138655 145710 160281 166386 178090 218565 226890 249579 267135 277310 320562 340335 415965 437130 480843 499158 534270 680670 748737 801405 831930 961686 1247895 1497474 1602810 2404215 2495790 3743685 4081499 4808430 7487370 8162998 12244497 20407495 24488994 36733491 40814990 44896489 61222485 73466982 89792978 110200473 122444970 134689467 183667455 220400946 224482445 269378934 367334910 404068401 448964890 551002365 673447335 808136802 1102004730 1212205203 1346894670 2020342005 2424410406 4040684010 6061026015 12122052030