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12210001056 = 2532113854167
BaseRepresentation
bin10110101111100010…
…11101010010100000
31011111221021022122100
423113301131102200
5200001230013211
65335330410400
7611401203501
oct132761352240
934457238570
1012210001056
1151a6255570
122449130a00
1311c7810cc6
1483b884ba8
154b6e03156
hex2d7c5d4a0

12210001056 has 72 divisors (see below), whose sum is σ = 37878763104. Its totient is φ = 3699999360.

The previous prime is 12210001049. The next prime is 12210001057. The reversal of 12210001056 is 65010001221.

12210001056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×122100010562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12210001057) 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 11 ways as a sum of consecutive naturals, for example, 1923916 + ... + 1930251.

It is an arithmetic number, because the mean of its divisors is an integer number (526093932).

Almost surely, 212210001056 is an apocalyptic number.

12210001056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12210001056 is an abundant number, since it is smaller than the sum of its proper divisors (25668762048).

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

12210001056 is a wasteful number, since it uses less digits than its factorization.

12210001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854194 (or 3854183 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12210001056 its reverse (65010001221), we get a palindrome (77220002277).

The spelling of 12210001056 in words is "twelve billion, two hundred ten million, one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3854167 7708334 11562501 15416668 23125002 30833336 34687503 42395837 46250004 61666672 69375006 84791674 92500008 123333344 127187511 138750012 169583348 185000016 254375022 277500024 339166696 370000032 381562533 508750044 555000048 678333392 763125066 1017500088 1110000096 1356666784 1526250132 2035000176 3052500264 4070000352 6105000528 12210001056