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12209820 = 2235724153
BaseRepresentation
bin101110100100…
…111010011100
3211222022201120
4232210322130
511111203240
61113410540
7205532100
oct56447234
924868646
1012209820
11698a467
124109a50
1326b665c
14189b900
151112ad0
hexba4e9c

12209820 has 72 divisors (see below), whose sum is σ = 39778704. Its totient is φ = 2790144.

The previous prime is 12209819. The next prime is 12209831. The reversal of 12209820 is 2890221.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 864 + ... + 5016.

It is an arithmetic number, because the mean of its divisors is an integer number (552482).

Almost surely, 212209820 is an apocalyptic number.

12209820 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 12209820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889352).

12209820 is an abundant number, since it is smaller than the sum of its proper divisors (27568884).

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

12209820 is a wasteful number, since it uses less digits than its factorization.

12209820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12209820 is about 3494.2552854650. The cubic root of 12209820 is about 230.2695013551.

The spelling of 12209820 in words is "twelve million, two hundred nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4153 8306 12459 16612 20765 24918 29071 41530 49836 58142 62295 83060 87213 116284 124590 145355 174426 203497 249180 290710 348852 406994 436065 581420 610491 813988 872130 1017485 1220982 1744260 2034970 2441964 3052455 4069940 6104910 12209820