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121427328 = 27311171989
BaseRepresentation
bin1110011110011…
…01010110000000
322110111010222110
413033031112000
5222041133303
620014335320
73003054351
oct717152600
9273433873
10121427328
11625a7170
12347ba540
131c2067b9
14121abd28
15a9d8703
hex73cd580

121427328 has 256 divisors, whose sum is σ = 396576000. Its totient is φ = 32440320.

The previous prime is 121427323. The next prime is 121427329. The reversal of 121427328 is 823724121.

It is a junction number, because it is equal to n+sod(n) for n = 121427295 and 121427304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121427323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1364308 + ... + 1364396.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 2121427328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

121427328 is an abundant number, since it is smaller than the sum of its proper divisors (275148672).

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

121427328 is a wasteful number, since it uses less digits than its factorization.

121427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 121427328 is about 11019.4068805903. The cubic root of 121427328 is about 495.1903196328.

The spelling of 121427328 in words is "one hundred twenty-one million, four hundred twenty-seven thousand, three hundred twenty-eight".