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121097232 = 24321734861
BaseRepresentation
bin1110011011111…
…00110000010000
322102212101011200
413031330300100
5222000102412
620003311200
73000211104
oct715746020
9272771150
10121097232
11623a1163
123467b500
131c11c489
1412123904
15a9709dc
hex737cc10

121097232 has 60 divisors (see below), whose sum is σ = 340933164. Its totient is φ = 40124160.

The previous prime is 121097213. The next prime is 121097233. The reversal of 121097232 is 232790121.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 10342656 = 10524^2 + 3216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121097196 and 121097205.

It is not an unprimeable number, because it can be changed into a prime (121097233) 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 11 ways as a sum of consecutive naturals, for example, 22482 + ... + 27342.

Almost surely, 2121097232 is an apocalyptic number.

121097232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121097232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170466582).

121097232 is an abundant number, since it is smaller than the sum of its proper divisors (219835932).

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

121097232 is a wasteful number, since it uses less digits than its factorization.

121097232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 121097232 is about 11004.4187488481. The cubic root of 121097232 is about 494.7411931443.

The spelling of 121097232 in words is "one hundred twenty-one million, ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 4861 6228 8304 9722 12456 14583 19444 24912 29166 38888 43749 58332 77776 87498 116664 174996 233328 349992 699984 840953 1681906 2522859 3363812 5045718 6727624 7568577 10091436 13455248 15137154 20182872 30274308 40365744 60548616 121097232