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12225741080 = 2357317234353
BaseRepresentation
bin10110110001011011…
…00000000100011000
31011120000212222220012
423120231200010120
5200014242203310
65341052021052
7611652041000
oct133055400430
934500788805
1012225741080
115204126253
122452461788
1311cab62427
1483d9c1000
154b84b1c05
hex2d8b60118

12225741080 has 512 divisors, whose sum is σ = 36951552000. Its totient is φ = 3616284672.

The previous prime is 12225741043. The next prime is 12225741107. The reversal of 12225741080 is 8014752221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230674334 + ... + 230674386.

It is an arithmetic number, because the mean of its divisors is an integer number (72171000).

Almost surely, 212225741080 is an apocalyptic number.

12225741080 is a gapful number since it is divisible by the number (10) 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 12225741080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18475776000).

12225741080 is an abundant number, since it is smaller than the sum of its proper divisors (24725810920).

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

12225741080 is a wasteful number, since it uses less digits than its factorization.

12225741080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 12225741080 in words is "twelve billion, two hundred twenty-five million, seven hundred forty-one thousand, eighty".