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12210002112132 = 22321130833338667
BaseRepresentation
bin1011000110101101110011…
…0101101010111010000100
31121020021011001002201201100
42301223130311222322010
53100022041020042012
641545110400100100
72400100143346206
oct261533465527204
947207131081640
1012210002112132
113988261972980
121452469004630
136a7523c886b6
14302d78212776
1516292451d8dc
hexb1adcd6ae84

12210002112132 has 36 divisors (see below), whose sum is σ = 33670005825456. Its totient is φ = 3700000639920.

The previous prime is 12210002112097. The next prime is 12210002112163. The reversal of 12210002112132 is 23121120001221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122100021121322 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15416668938 + ... + 15416669729.

It is an arithmetic number, because the mean of its divisors is an integer number (935277939596).

Almost surely, 212210002112132 is an apocalyptic number.

12210002112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210002112132 is an abundant number, since it is smaller than the sum of its proper divisors (21460003713324).

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

12210002112132 is a wasteful number, since it uses less digits than its factorization.

12210002112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30833338688 (or 30833338683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12210002112132 its reverse (23121120001221), we get a palindrome (35331122113353).

The spelling of 12210002112132 in words is "twelve trillion, two hundred ten billion, two million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 30833338667 61666677334 92500016001 123333354668 185000032002 277500048003 339166725337 370000064004 555000096006 678333450674 1017500176011 1110000192012 1356666901348 2035000352022 3052500528033 4070000704044 6105001056066 12210002112132