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12290532110325 = 345272193641789
BaseRepresentation
bin1011001011011001110011…
…0011001110111111110101
31121111222000022111111120000
42302312130303032333311
53102332002210012300
642050105325301513
72405650562135100
oct262663463167765
947458008444500
1012290532110325
113a09426a65497
121465ba2404899
136b1cb8b497c1
14306c17511737
15164a892cdc00
hexb2d9ccceff5

12290532110325 has 180 divisors, whose sum is σ = 26620523738820. Its totient is φ = 5589408706560.

The previous prime is 12290532110323. The next prime is 12290532110347. The reversal of 12290532110325 is 52301123509221.

12290532110325 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 0 + 5 + 321 + 1 + 0 + 325 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32396760081 + 12258135350244 = 179991^2 + 3501162^2 .

It is not a de Polignac number, because 12290532110325 - 21 = 12290532110323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12290532110325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12290532110323) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 18829531 + ... + 19471319.

It is an arithmetic number, because the mean of its divisors is an integer number (147891798549).

Almost surely, 212290532110325 is an apocalyptic number.

12290532110325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12290532110325 is an abundant number, since it is smaller than the sum of its proper divisors (14329991628495).

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

12290532110325 is a wasteful number, since it uses less digits than its factorization.

12290532110325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642018 (or 641997 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 12290532110325 its reverse (52301123509221), we get a palindrome (64591655619546).

The spelling of 12290532110325 in words is "twelve trillion, two hundred ninety billion, five hundred thirty-two million, one hundred ten thousand, three hundred twenty-five".