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12232021120 = 2751110117203
BaseRepresentation
bin10110110010001010…
…11101010010000000
31011120110201001111021
423121011131102000
5200022344133440
65341434355224
7612056315104
oct133105352200
934513631437
1012232021120
115207725570
12245458bb14
1311cc250a27
14840777904
154b8d0284a
hex2d915d480

12232021120 has 128 divisors (see below), whose sum is σ = 32218274880. Its totient is φ = 4403712000.

The previous prime is 12232021097. The next prime is 12232021127. The reversal of 12232021120 is 2112023221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12232021094 and 12232021103.

It is not an unprimeable number, because it can be changed into a prime (12232021127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702439 + ... + 719641.

Almost surely, 212232021120 is an apocalyptic number.

12232021120 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 12232021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109137440).

12232021120 is an abundant number, since it is smaller than the sum of its proper divisors (19986253760).

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

12232021120 is a wasteful number, since it uses less digits than its factorization.

12232021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17334 (or 17322 counting only the distinct ones).

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

Adding to 12232021120 its reverse (2112023221), we get a palindrome (14344044341).

The spelling of 12232021120 in words is "twelve billion, two hundred thirty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 320 352 404 440 505 640 704 808 880 1010 1111 1408 1616 1760 2020 2222 3232 3520 4040 4444 5555 6464 7040 8080 8888 11110 12928 16160 17203 17776 22220 32320 34406 35552 44440 64640 68812 71104 86015 88880 137624 142208 172030 177760 189233 275248 344060 355520 378466 550496 688120 711040 756932 946165 1100992 1376240 1513864 1737503 1892330 2201984 2752480 3027728 3475006 3784660 5504960 6055456 6950012 7569320 8687515 11009920 12110912 13900024 15138640 17375030 19112533 24221824 27800048 30277280 34750060 38225066 55600096 60554560 69500120 76450132 95562665 111200192 121109120 139000240 152900264 191125330 222400384 278000480 305800528 382250660 556000960 611601056 764501320 1112001920 1223202112 1529002640 2446404224 3058005280 6116010560 12232021120