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121300128 = 2532421181
BaseRepresentation
bin1110011101011…
…10010010100000
322110020200111100
413032232102200
5222023101003
620011514400
73002014455
oct716562240
9273220440
10121300128
116251a644
1234758a00
131c190931
141217782c
15a9b0ba3
hex73ae4a0

121300128 has 36 divisors (see below), whose sum is σ = 344948058. Its totient is φ = 40433280.

The previous prime is 121300079. The next prime is 121300129. The reversal of 121300128 is 821003121.

It can be written as a sum of positive squares in only one way, i.e., 85155984 + 36144144 = 9228^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 121300128.

It is not an unprimeable number, because it can be changed into a prime (121300129) 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 5 ways as a sum of consecutive naturals, for example, 210303 + ... + 210878.

Almost surely, 2121300128 is an apocalyptic number.

121300128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121300128 is an abundant number, since it is smaller than the sum of its proper divisors (223647930).

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

121300128 is a wasteful number, since it uses less digits than its factorization.

121300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421197 (or 421186 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121300128 is about 11013.6337327877. The cubic root of 121300128 is about 495.0173486420.

Adding to 121300128 its reverse (821003121), we get a palindrome (942303249).

The spelling of 121300128 in words is "one hundred twenty-one million, three hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421181 842362 1263543 1684724 2527086 3369448 3790629 5054172 6738896 7581258 10108344 13477792 15162516 20216688 30325032 40433376 60650064 121300128