Search a number
-
+
12121201110 = 23517374871319
BaseRepresentation
bin10110100100111101…
…01101100111010110
31011021202011211000110
423102132231213112
5144311011413420
65322435223450
7606242336514
oct132236554726
934252154013
1012121201110
115160113887
122423447b86
1311b22bc365
1482db6b4b4
154ae211ee0
hex2d27ad9d6

12121201110 has 128 divisors (see below), whose sum is σ = 31723591680. Its totient is φ = 2951645184.

The previous prime is 12121201109. The next prime is 12121201129. The reversal of 12121201110 is 1110212121.

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, 9189031 + ... + 9190349.

It is an arithmetic number, because the mean of its divisors is an integer number (247840560).

Almost surely, 212121201110 is an apocalyptic number.

12121201110 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 12121201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861795840).

12121201110 is an abundant number, since it is smaller than the sum of its proper divisors (19602390570).

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

12121201110 is a wasteful number, since it uses less digits than its factorization.

12121201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12121201110 its reverse (1110212121), we get a palindrome (13231413231).

The spelling of 12121201110 in words is "twelve billion, one hundred twenty-one million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 487 510 555 629 974 1110 1258 1319 1461 1887 2435 2638 2922 3145 3774 3957 4870 6290 6595 7305 7914 8279 9435 13190 14610 16558 18019 18870 19785 22423 24837 36038 39570 41395 44846 48803 49674 54057 67269 82790 90095 97606 108114 112115 124185 134538 146409 180190 224230 244015 248370 270285 292818 306323 336345 488030 540570 612646 642353 672690 732045 829651 918969 1284706 1464090 1531615 1659302 1837938 1927059 2488953 3063230 3211765 3854118 4148255 4594845 4977906 6423530 8296510 9189690 9635295 10920001 12444765 19270590 21840002 23767061 24889530 32760003 47534122 54600005 65520006 71301183 109200010 118835305 142602366 163800015 237670610 327600030 356505915 404040037 713011830 808080074 1212120111 2020200185 2424240222 4040400370 6060600555 12121201110