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12999220 = 22513172173
BaseRepresentation
bin110001100101…
…101000110100
3220110102120121
4301211220310
511311433340
61142341324
7215330413
oct61455064
926412517
1012999220
117379563
12442a844
132901a60
141a2547a
15121b94a
hexc65a34

12999220 has 72 divisors (see below), whose sum is σ = 31409784. Its totient is φ = 4491264.

The previous prime is 12999193. The next prime is 12999223. The reversal of 12999220 is 2299921.

It can be written as a sum of positive squares in 12 ways, for example, as 197136 + 12802084 = 444^2 + 3578^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12999223) 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 23 ways as a sum of consecutive naturals, for example, 75054 + ... + 75226.

It is an arithmetic number, because the mean of its divisors is an integer number (436247).

Almost surely, 212999220 is an apocalyptic number.

12999220 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 12999220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704892).

12999220 is an abundant number, since it is smaller than the sum of its proper divisors (18410564).

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

12999220 is a wasteful number, since it uses less digits than its factorization.

12999220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 12999220 is about 3605.4431073032. The cubic root of 12999220 is about 235.1287660086.

The spelling of 12999220 in words is "twelve million, nine hundred ninety-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 173 221 260 289 340 346 442 578 692 865 884 1105 1156 1445 1730 2210 2249 2890 2941 3460 3757 4420 4498 5780 5882 7514 8996 11245 11764 14705 15028 18785 22490 29410 37570 38233 44980 49997 58820 75140 76466 99994 152932 191165 199988 249985 382330 499970 649961 764660 999940 1299922 2599844 3249805 6499610 12999220