Search a number
-
+
12110110012 = 227111319315671
BaseRepresentation
bin10110100011101000…
…11001110100111100
31011020222022022220001
423101310121310330
5144300142010022
65321401404044
7606046144120
oct132164316474
934228268801
1012110110012
115154928990
12241b799624
1311acc07c90
1482c4c1580
154ad270b27
hex2d1d19d3c

12110110012 has 96 divisors (see below), whose sum is σ = 28603782144. Its totient is φ = 4332441600.

The previous prime is 12110110007. The next prime is 12110110013. The reversal of 12110110012 is 21001101121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110110013) 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, 764937 + ... + 780607.

It is an arithmetic number, because the mean of its divisors is an integer number (297956064).

Almost surely, 212110110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301891072).

12110110012 is an abundant number, since it is smaller than the sum of its proper divisors (16493672132).

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

12110110012 is a wasteful number, since it uses less digits than its factorization.

12110110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15899 (or 15897 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12110110012 its reverse (21001101121), we get a palindrome (33111211133).

The spelling of 12110110012 in words is "twelve billion, one hundred ten million, one hundred ten thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 193 286 308 364 386 572 772 1001 1351 2002 2123 2509 2702 4004 4246 5018 5404 8492 10036 14861 15671 17563 27599 29722 31342 35126 55198 59444 62684 70252 109697 110396 172381 193193 203723 219394 344762 386386 407446 438788 689524 772772 814892 1206667 1426061 2240953 2413334 2852122 3024503 4481906 4826668 5704244 6049006 8963812 12098012 15686671 21171521 31373342 33269533 39318539 42343042 62746684 66539066 78637078 84686084 133078132 157274156 232886731 275229773 432503929 465773462 550459546 865007858 931546924 1100919092 1730015716 3027527503 6055055006 12110110012