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110220120012 = 22319229386837
BaseRepresentation
bin110011010100110100…
…0011000111111001100
3101112111102121020021010
41212221220120333030
53301212322320022
6122345011405220
710651233363522
oct1465150307714
9345442536233
10110220120012
1142820425582
12194405b3810
13a516caa132
145498522312
152d015c850c
hex19a9a18fcc

110220120012 has 72 divisors (see below), whose sum is σ = 272358008496. Its totient is φ = 34687161216.

The previous prime is 110220119983. The next prime is 110220120053. The reversal of 110220120012 is 210021022011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 110220120012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225858 + ... + 1312694.

It is an arithmetic number, because the mean of its divisors is an integer number (3782750118).

Almost surely, 2110220120012 is an apocalyptic number.

110220120012 is a gapful number since it is divisible by the number (12) 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 110220120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136179004248).

110220120012 is an abundant number, since it is smaller than the sum of its proper divisors (162137888484).

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

110220120012 is a wasteful number, since it uses less digits than its factorization.

110220120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87175 (or 87154 counting only the distinct ones).

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

Adding to 110220120012 its reverse (210021022011), we get a palindrome (320241142023).

The spelling of 110220120012 in words is "one hundred ten billion, two hundred twenty million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 293 361 586 722 879 1083 1172 1444 1758 2166 3516 4332 5567 11134 16701 22268 33402 66804 86837 105773 173674 211546 260511 317319 347348 423092 521022 634638 1042044 1269276 1649903 3299806 4949709 6599612 9899418 19798836 25443241 31348157 50886482 62696314 76329723 94044471 101772964 125392628 152659446 188088942 305318892 376177884 483421579 966843158 1450264737 1933686316 2900529474 5801058948 9185010001 18370020002 27555030003 36740040004 55110060006 110220120012