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121298976 = 2532421177
BaseRepresentation
bin1110011101011…
…10000000100000
322110020121220200
413032232000200
5222023031401
620011505200
73002011221
oct716560040
9273217820
10121298976
1162519797
1234758200
131c190256
1412177248
15a9b0686
hex73ae020

121298976 has 36 divisors (see below), whose sum is σ = 344944782. Its totient is φ = 40432896.

The previous prime is 121298971. The next prime is 121298981. The reversal of 121298976 is 679892121.

It is an interprime number because it is at equal distance from previous prime (121298971) and next prime (121298981).

It can be written as a sum of positive squares in only one way, i.e., 110250000 + 11048976 = 10500^2 + 3324^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121298971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210301 + ... + 210876.

Almost surely, 2121298976 is an apocalyptic number.

121298976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121298976 is an abundant number, since it is smaller than the sum of its proper divisors (223645806).

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

121298976 is a wasteful number, since it uses less digits than its factorization.

121298976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421193 (or 421182 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 121298976 is about 11013.5814338479. The cubic root of 121298976 is about 495.0157815599.

The spelling of 121298976 in words is "one hundred twenty-one million, two hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421177 842354 1263531 1684708 2527062 3369416 3790593 5054124 6738832 7581186 10108248 13477664 15162372 20216496 30324744 40432992 60649488 121298976