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12212002122 = 23172331716421
BaseRepresentation
bin10110101111110010…
…00101110101001010
31011112002000222120220
423113321011311022
5200002233031442
65335441330510
7611424206505
oct132771056512
934462028526
1012212002122
1151a73a1a41
122449936a36
1311c8061a78
1483bc4613c
154b719aeec
hex2d7e45d4a

12212002122 has 64 divisors (see below), whose sum is σ = 27071864064. Its totient is φ = 3652858880.

The previous prime is 12212002097. The next prime is 12212002147. The reversal of 12212002122 is 22120021221.

It is an interprime number because it is at equal distance from previous prime (12212002097) and next prime (12212002147).

It is a super-3 number, since 3×122120021223 (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 735472 + ... + 751892.

It is an arithmetic number, because the mean of its divisors is an integer number (422997876).

Almost surely, 212212002122 is an apocalyptic number.

12212002122 is an abundant number, since it is smaller than the sum of its proper divisors (14859861942).

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

12212002122 is a wasteful number, since it uses less digits than its factorization.

12212002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16783.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12212002122 its reverse (22120021221), we get a palindrome (34332023343).

The spelling of 12212002122 in words is "twelve billion, two hundred twelve million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 317 391 634 782 951 1173 1902 2346 5389 7291 10778 14582 16167 16421 21873 32334 32842 43746 49263 98526 123947 247894 279157 371841 377683 558314 743682 755366 837471 1133049 1674942 2266098 5205457 6420611 10410914 12841222 15616371 19261833 31232742 38523666 88492769 119725511 176985538 239451022 265478307 359176533 530956614 718353066 2035333687 4070667374 6106001061 12212002122