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12022111110 = 23519143914657
BaseRepresentation
bin10110011001001001…
…01101101110000110
31011000211201112002110
423030210231232012
5144110130023420
65304535321450
7603630154422
oct131444555606
934024645073
1012022111110
11510a194019
1223b6220286
131197906b19
14820935b82
154a568bee0
hex2cc92db86

12022111110 has 64 divisors (see below), whose sum is σ = 30394828800. Its totient is φ = 3034847232.

The previous prime is 12022111039. The next prime is 12022111159. The reversal of 12022111110 is 1111122021.

12022111110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812902 + ... + 827558.

It is an arithmetic number, because the mean of its divisors is an integer number (474919200).

Almost surely, 212022111110 is an apocalyptic number.

12022111110 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 12022111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197414400).

12022111110 is an abundant number, since it is smaller than the sum of its proper divisors (18372717690).

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

12022111110 is a wasteful number, since it uses less digits than its factorization.

12022111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125.

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

Adding to 12022111110 its reverse (1111122021), we get a palindrome (13133233131).

The spelling of 12022111110 in words is "twelve billion, twenty-two million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1439 2878 4317 7195 8634 14390 14657 21585 27341 29314 43170 43971 54682 73285 82023 87942 136705 146570 164046 219855 273410 278483 410115 439710 556966 820230 835449 1392415 1670898 2784830 4177245 8354490 21091423 42182846 63274269 105457115 126548538 210914230 316371345 400737037 632742690 801474074 1202211111 2003685185 2404422222 4007370370 6011055555 12022111110