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12212480 = 28572947
BaseRepresentation
bin101110100101…
…100100000000
3211222110101002
4232211210000
511111244410
61113431132
7205542620
oct56454400
924873332
1012212480
116991465
12410b4a8
1326b7927
14189c880
1511137a5
hexba5900

12212480 has 144 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 3956736.

The previous prime is 12212467. The next prime is 12212483. The reversal of 12212480 is 8421221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12212483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259817 + ... + 259863.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 212212480 is an apocalyptic number.

12212480 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 12212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

12212480 is an abundant number, since it is smaller than the sum of its proper divisors (23107840).

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

12212480 is an equidigital number, since it uses as much as digits as its factorization.

12212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 12212480 is about 3494.6358894740. The cubic root of 12212480 is about 230.2862221148.

The spelling of 12212480 in words is "twelve million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 47 56 58 64 70 80 94 112 116 128 140 145 160 188 203 224 232 235 256 280 290 320 329 376 406 448 464 470 560 580 640 658 752 812 896 928 940 1015 1120 1160 1280 1316 1363 1504 1624 1645 1792 1856 1880 2030 2240 2320 2632 2726 3008 3248 3290 3712 3760 4060 4480 4640 5264 5452 6016 6496 6580 6815 7424 7520 8120 8960 9280 9541 10528 10904 12032 12992 13160 13630 15040 16240 18560 19082 21056 21808 25984 26320 27260 30080 32480 37120 38164 42112 43616 47705 51968 52640 54520 60160 64960 76328 84224 87232 95410 105280 109040 129920 152656 174464 190820 210560 218080 259840 305312 348928 381640 421120 436160 610624 763280 872320 1221248 1526560 1744640 2442496 3053120 6106240 12212480