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12122032120 = 23511411016653
BaseRepresentation
bin10110100101000011…
…11000011111111000
31011021210202000221121
423102201320133320
5144311220011440
65322505115024
7606252400342
oct132241703770
934253660847
1012122032120
115160631170
122423788a74
1311b2520693
1482dd06292
154ae32834a
hex2d28787f8

12122032120 has 128 divisors (see below), whose sum is σ = 30786194880. Its totient is φ = 4257280000.

The previous prime is 12122032051. The next prime is 12122032127. The reversal of 12122032120 is 2123022121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12122032094 and 12122032103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122032127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818714 + ... + 1825366.

Almost surely, 212122032120 is an apocalyptic number.

12122032120 is a gapful number since it is divisible by the number (10) 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 12122032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393097440).

12122032120 is an abundant number, since it is smaller than the sum of its proper divisors (18664162760).

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

12122032120 is a wasteful number, since it uses less digits than its factorization.

12122032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12122032120 its reverse (2123022121), we get a palindrome (14245054241).

Subtracting from 12122032120 its reverse (2123022121), we obtain a palindrome (9999009999).

The spelling of 12122032120 in words is "twelve billion, one hundred twenty-two million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 101 110 164 202 205 220 328 404 410 440 451 505 808 820 902 1010 1111 1640 1804 2020 2222 2255 3608 4040 4141 4444 4510 5555 6653 8282 8888 9020 11110 13306 16564 18040 20705 22220 26612 33128 33265 41410 44440 45551 53224 66530 73183 82820 91102 133060 146366 165640 182204 227755 266120 272773 292732 364408 365915 455510 545546 585464 671953 731830 911020 1091092 1343906 1363865 1463660 1822040 2182184 2687812 2727730 2927320 3000503 3359765 5375624 5455460 6001006 6719530 7391483 10910920 12002012 13439060 14782966 15002515 24004024 26878120 27550073 29565932 30005030 36957415 55100146 59131864 60010060 73914830 110200292 120020120 137750365 147829660 220400584 275500730 295659320 303050803 551001460 606101606 1102002920 1212203212 1515254015 2424406424 3030508030 6061016060 12122032120