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12211104 = 253311409
BaseRepresentation
bin101110100101…
…001110100000
3211222101111010
4232211032200
511111223404
61113420520
7205535613
oct56451640
924871433
1012211104
116990424
12410a740
1326b7109
14189c17a
151113189
hexba53a0

12211104 has 48 divisors (see below), whose sum is σ = 32235840. Its totient is φ = 4047360.

The previous prime is 12211103. The next prime is 12211123. The reversal of 12211104 is 40111221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122111042 = 298222121797632, which contains 22 as substring.

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 12211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29652 + ... + 30060.

It is an arithmetic number, because the mean of its divisors is an integer number (671580).

Almost surely, 212211104 is an apocalyptic number.

It is an amenable number.

12211104 is an abundant number, since it is smaller than the sum of its proper divisors (20024736).

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

12211104 is a wasteful number, since it uses less digits than its factorization.

12211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

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

The square root of 12211104 is about 3494.4390107713. The cubic root of 12211104 is about 230.2775728821.

Adding to 12211104 its reverse (40111221), we get a palindrome (52322325).

The spelling of 12211104 in words is "twelve million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 311 409 622 818 933 1227 1244 1636 1866 2454 2488 3272 3732 4908 4976 6544 7464 9816 9952 13088 14928 19632 29856 39264 127199 254398 381597 508796 763194 1017592 1526388 2035184 3052776 4070368 6105552 12211104