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12111420 = 2235972081
BaseRepresentation
bin101110001100…
…111000111100
3211210022202010
4232030320330
511100031140
61111331220
7204642156
oct56147074
924708663
1012111420
116922542
124080b10
132680929
141873ad6
1510e3880
hexb8ce3c

12111420 has 48 divisors (see below), whose sum is σ = 34278048. Its totient is φ = 3194880.

The previous prime is 12111419. The next prime is 12111427. The reversal of 12111420 is 2411121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12111396 and 12111405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4780 + ... + 6860.

It is an arithmetic number, because the mean of its divisors is an integer number (714126).

Almost surely, 212111420 is an apocalyptic number.

12111420 is a gapful number since it is divisible by the number (10) 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 12111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17139024).

12111420 is an abundant number, since it is smaller than the sum of its proper divisors (22166628).

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

12111420 is a wasteful number, since it uses less digits than its factorization.

12111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2188 counting only the distinct ones).

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

The square root of 12111420 is about 3480.1465486384. The cubic root of 12111420 is about 229.6492448205.

Adding to 12111420 its reverse (2411121), we get a palindrome (14522541).

The spelling of 12111420 in words is "twelve million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2081 2910 4162 5820 6243 8324 10405 12486 20810 24972 31215 41620 62430 124860 201857 403714 605571 807428 1009285 1211142 2018570 2422284 3027855 4037140 6055710 12111420