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12221120 = 265181211
BaseRepresentation
bin101110100111…
…101011000000
3211222220020002
4232213223000
511112033440
61113535132
7205610042
oct56475300
924886202
1012221120
1169979aa
1241144a8
1326bb842
1418a1a92
151116115
hexba7ac0

12221120 has 56 divisors (see below), whose sum is σ = 29401008. Its totient is φ = 4838400.

The previous prime is 12221117. The next prime is 12221171. The reversal of 12221120 is 2112221.

It is a happy number.

12221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57815 + ... + 58025.

It is an arithmetic number, because the mean of its divisors is an integer number (525018).

Almost surely, 212221120 is an apocalyptic number.

12221120 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 12221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14700504).

12221120 is an abundant number, since it is smaller than the sum of its proper divisors (17179888).

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

12221120 is a wasteful number, since it uses less digits than its factorization.

12221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 12221120 is about 3495.8718511982. The cubic root of 12221120 is about 230.3405164085.

Adding to 12221120 its reverse (2112221), we get a palindrome (14333341).

The spelling of 12221120 in words is "twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 211 320 362 422 724 844 905 1055 1448 1688 1810 2110 2896 3376 3620 4220 5792 6752 7240 8440 11584 13504 14480 16880 28960 33760 38191 57920 67520 76382 152764 190955 305528 381910 611056 763820 1222112 1527640 2444224 3055280 6110560 12221120