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128120226390 = 2365131971153
BaseRepresentation
bin111011101010010001…
…1111000001001010110
3110020200220210212000000
41313110203320021112
54044342234221030
6134505125032130
712153636645552
oct1672443701126
9406626725000
10128120226390
114a376589422
12209b7255646
13c10a603460
1462b5988862
1534ecced860
hex1dd48f8256

128120226390 has 224 divisors, whose sum is σ = 391967462880. Its totient is φ = 29877009408.

The previous prime is 128120226323. The next prime is 128120226391. The reversal of 128120226390 is 93622021821.

It is a happy number.

128120226390 is a `hidden beast` number, since 1 + 2 + 8 + 12 + 0 + 2 + 2 + 639 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128120226391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1765054 + ... + 1836206.

It is an arithmetic number, because the mean of its divisors is an integer number (1749854745).

Almost surely, 2128120226390 is an apocalyptic number.

128120226390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128120226390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195983731440).

128120226390 is an abundant number, since it is smaller than the sum of its proper divisors (263847236490).

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

128120226390 is a wasteful number, since it uses less digits than its factorization.

128120226390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71210 (or 71195 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 128120226390 in words is "one hundred twenty-eight billion, one hundred twenty million, two hundred twenty-six thousand, three hundred ninety".