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12210322224 = 2437328112401
BaseRepresentation
bin10110101111100101…
…01011101100110000
31011111221212122012110
423113302223230300
5200001320302344
65335341325320
7611404012032
oct132762535460
934457778173
1012210322224
1151a64548a1
122449266840
1311c78c4249
1483b929c52
154b6e683b9
hex2d7cabb30

12210322224 has 80 divisors (see below), whose sum is σ = 32091812064. Its totient is φ = 3999744000.

The previous prime is 12210322193. The next prime is 12210322291. The reversal of 12210322224 is 42222301221.

It is a self number, because there is not a number n which added to its sum of digits gives 12210322224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978424 + ... + 990824.

Almost surely, 212210322224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045906032).

12210322224 is an abundant number, since it is smaller than the sum of its proper divisors (19881489840).

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

12210322224 is a wasteful number, since it uses less digits than its factorization.

12210322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12766 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12210322224 its reverse (42222301221), we get a palindrome (54432623445).

The spelling of 12210322224 in words is "twelve billion, two hundred ten million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 281 292 438 562 584 843 876 1124 1168 1686 1752 2248 3372 3504 4496 6744 12401 13488 20513 24802 37203 41026 49604 61539 74406 82052 99208 123078 148812 164104 198416 246156 297624 328208 492312 595248 905273 984624 1810546 2715819 3484681 3621092 5431638 6969362 7242184 10454043 10863276 13938724 14484368 20908086 21726552 27877448 41816172 43453104 55754896 83632344 167264688 254381713 508763426 763145139 1017526852 1526290278 2035053704 3052580556 4070107408 6105161112 12210322224