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121331232 = 25321138299
BaseRepresentation
bin1110011101101…
…01111000100000
322110022021011100
413032311320200
5222030044412
620012314400
73002204241
oct716657040
9273267140
10121331232
1162540a50
1234772a00
131c1a1b39
1412184cc8
15a9b9edc
hex73b5e20

121331232 has 72 divisors (see below), whose sum is σ = 376412400. Its totient is φ = 36766080.

The previous prime is 121331213. The next prime is 121331239. The reversal of 121331232 is 232133121.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121331239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15982 + ... + 22317.

It is an arithmetic number, because the mean of its divisors is an integer number (5227950).

Almost surely, 2121331232 is an apocalyptic number.

121331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121331232 is an abundant number, since it is smaller than the sum of its proper divisors (255081168).

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

121331232 is a wasteful number, since it uses less digits than its factorization.

121331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38326 (or 38315 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 121331232 is about 11015.0457103001. The cubic root of 121331232 is about 495.0596561098.

Adding to 121331232 its reverse (232133121), we get a palindrome (353464353).

The spelling of 121331232 in words is "one hundred twenty-one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 38299 76598 114897 153196 229794 306392 344691 421289 459588 612784 689382 842578 919176 1225568 1263867 1378764 1685156 1838352 2527734 2757528 3370312 3676704 3791601 5055468 5515056 6740624 7583202 10110936 11030112 13481248 15166404 20221872 30332808 40443744 60665616 121331232