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12210011001012 = 223111719580149367
BaseRepresentation
bin1011000110101101110101…
…0111100101000010110100
31121020021011122211022222010
42301223131113211002310
53100022100304013022
641545111314404220
72400100312040256
oct261533527450264
947207148738863
1012210011001012
113988266994260
12145246bb90670
136a7525a7b5a6
14302d79487cd6
151629251c750c
hexb1add5e50b4

12210011001012 has 192 divisors, whose sum is σ = 34646952130560. Its totient is φ = 3298438656000.

The previous prime is 12210011000989. The next prime is 12210011001043. The reversal of 12210011001012 is 21010011001221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 247306753 + ... + 247356119.

It is an arithmetic number, because the mean of its divisors is an integer number (180452875680).

Almost surely, 212210011001012 is an apocalyptic number.

12210011001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210011001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323476065280).

12210011001012 is an abundant number, since it is smaller than the sum of its proper divisors (22436941129548).

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

12210011001012 is a wasteful number, since it uses less digits than its factorization.

12210011001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55222 (or 55220 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12210011001012 its reverse (21010011001221), we get a palindrome (33220022002233).

The spelling of 12210011001012 in words is "twelve trillion, two hundred ten billion, eleven million, one thousand, twelve".