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12212412472 = 23131071796131
BaseRepresentation
bin10110101111110101…
…01010000000111000
31011112002210211111001
423113322222000320
5200002334144342
65335454214344
7611430536041
oct132772520070
934462724431
1012212412472
1151a7652277
122449ab43b4
1311c8176790
1483bd118c8
154b722c8b7
hex2d7eaa038

12212412472 has 64 divisors (see below), whose sum is σ = 25033276800. Its totient is φ = 5551720320.

The previous prime is 12212412467. The next prime is 12212412473. The reversal of 12212412472 is 27421421221.

12212412472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122124124722 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12212412472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212412473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1988847 + ... + 1994977.

It is an arithmetic number, because the mean of its divisors is an integer number (391144950).

Almost surely, 212212412472 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 12212412472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12516638400).

12212412472 is an abundant number, since it is smaller than the sum of its proper divisors (12820864328).

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

12212412472 is a wasteful number, since it uses less digits than its factorization.

12212412472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6432 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

Adding to 12212412472 its reverse (27421421221), we get a palindrome (39633833693).

The spelling of 12212412472 in words is "twelve billion, two hundred twelve million, four hundred twelve thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 107 179 214 358 428 716 856 1391 1432 2327 2782 4654 5564 6131 9308 11128 12262 18616 19153 24524 38306 49048 76612 79703 153224 159406 248989 318812 497978 637624 656017 995956 1097449 1312034 1991912 2194898 2624068 4389796 5248136 8528221 8779592 14266837 17056442 28533674 34112884 57067348 68225768 114134696 117427043 234854086 469708172 939416344 1526551559 3053103118 6106206236 12212412472