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121292032 = 283671291
BaseRepresentation
bin1110011101011…
…00010100000000
322110020021101111
413032230110000
5222022321112
620011413104
73001652041
oct716542400
9273207344
10121292032
1162514554
1234754194
131c18a044
14121748c8
15a9ad5a7
hex73ac500

121292032 has 36 divisors (see below), whose sum is σ = 242958016. Its totient is φ = 60433920.

The previous prime is 121292027. The next prime is 121292033. The reversal of 121292032 is 230292121.

It is a junction number, because it is equal to n+sod(n) for n = 121291994 and 121292012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121292033) 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 3 ways as a sum of consecutive naturals, for example, 93307 + ... + 94597.

Almost surely, 2121292032 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 121292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121479008).

121292032 is an abundant number, since it is smaller than the sum of its proper divisors (121665984).

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

121292032 is an equidigital number, since it uses as much as digits as its factorization.

121292032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 121292032 is about 11013.2661822004. The cubic root of 121292032 is about 495.0063353269.

It can be divided in two parts, 12129 and 2032, that added together give a square (14161 = 1192).

The spelling of 121292032 in words is "one hundred twenty-one million, two hundred ninety-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 367 734 1291 1468 2582 2936 5164 5872 10328 11744 20656 23488 41312 46976 82624 93952 165248 330496 473797 947594 1895188 3790376 7580752 15161504 30323008 60646016 121292032