Search a number
-
+
12120022110 = 2357227772969
BaseRepresentation
bin10110100100110100…
…01101110001011110
31011021122221220201210
423102122031301132
5144310211201420
65322354045250
7606226326300
oct132232156136
934248856653
1012120022110
11515a488aa9
122422b79826
1311b1c98821
1482d941970
154ae07c9e0
hex2d268dc5e

12120022110 has 96 divisors (see below), whose sum is σ = 33860708640. Its totient is φ = 2768360448.

The previous prime is 12120022099. The next prime is 12120022121. The reversal of 12120022110 is 1122002121.

It is an interprime number because it is at equal distance from previous prime (12120022099) and next prime (12120022121).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080706 + ... + 4083674.

It is an arithmetic number, because the mean of its divisors is an integer number (352715715).

Almost surely, 212120022110 is an apocalyptic number.

12120022110 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 12120022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930354320).

12120022110 is an abundant number, since it is smaller than the sum of its proper divisors (21740686530).

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

12120022110 is a wasteful number, since it uses less digits than its factorization.

12120022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120022110 its reverse (1122002121), we get a palindrome (13242024231).

The spelling of 12120022110 in words is "twelve billion, one hundred twenty million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2777 2969 5554 5938 8331 8907 13885 14845 16662 17814 19439 20783 27770 29690 38878 41566 41655 44535 58317 62349 83310 89070 97195 103915 116634 124698 136073 145481 194390 207830 272146 290962 291585 311745 408219 436443 583170 623490 680365 727405 816438 872886 1360730 1454810 2041095 2182215 4082190 4364430 8244913 16489826 24734739 41224565 49469478 57714391 82449130 115428782 123673695 173143173 247347390 288571955 346286346 404000737 577143910 808001474 865715865 1212002211 1731431730 2020003685 2424004422 4040007370 6060011055 12120022110