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12212880 = 2435151337
BaseRepresentation
bin101110100101…
…101010010000
3211222110220220
4232211222100
511111303010
61113433040
7205544031
oct56455220
924873826
1012212880
116991799
12410b780
1326b7b74
14189ca88
151113970
hexba5a90

12212880 has 80 divisors (see below), whose sum is σ = 38223744. Its totient is φ = 3225600.

The previous prime is 12212867. The next prime is 12212881. The reversal of 12212880 is 8821221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12212880.

It is not an unprimeable number, because it can be changed into a prime (12212881) 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 15 ways as a sum of consecutive naturals, for example, 36072 + ... + 36408.

Almost surely, 212212880 is an apocalyptic number.

12212880 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 12212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111872).

12212880 is an abundant number, since it is smaller than the sum of its proper divisors (26010864).

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

12212880 is a wasteful number, since it uses less digits than its factorization.

12212880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12212880 is about 3494.6931195743. The cubic root of 12212880 is about 230.2887363047.

The spelling of 12212880 in words is "twelve million, two hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 337 453 604 674 755 906 1011 1208 1348 1510 1685 1812 2022 2265 2416 2696 3020 3370 3624 4044 4530 5055 5392 6040 6740 7248 8088 9060 10110 12080 13480 16176 18120 20220 26960 36240 40440 50887 80880 101774 152661 203548 254435 305322 407096 508870 610644 763305 814192 1017740 1221288 1526610 2035480 2442576 3053220 4070960 6106440 12212880