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120212424 = 2334296397
BaseRepresentation
bin1110010101001…
…00101111001000
322101012102110000
413022210233020
5221233244144
615532323000
72656534353
oct712445710
9271172400
10120212424
1161947412
1234313460
131bb9c817
1411d7329a
15a848769
hex72a4bc8

120212424 has 80 divisors (see below), whose sum is σ = 348371100. Its totient is φ = 38683008.

The previous prime is 120212413. The next prime is 120212429. The reversal of 120212424 is 424212021.

It can be written as a sum of positive squares in 2 ways, for example, as 107122500 + 13089924 = 10350^2 + 3618^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120212397 and 120212406.

It is not an unprimeable number, because it can be changed into a prime (120212429) 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 19 ways as a sum of consecutive naturals, for example, 15594 + ... + 21990.

Almost surely, 2120212424 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 120212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174185550).

120212424 is an abundant number, since it is smaller than the sum of its proper divisors (228158676).

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

120212424 is a wasteful number, since it uses less digits than its factorization.

120212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120212424 is about 10964.1426477404. The cubic root of 120212424 is about 493.5332892059.

Adding to 120212424 its reverse (424212021), we get a palindrome (544424445).

The spelling of 120212424 in words is "one hundred twenty million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 6397 9396 12794 18792 19191 25588 38382 51176 57573 76764 115146 153528 172719 185513 230292 345438 371026 460584 518157 556539 690876 742052 1036314 1113078 1381752 1484104 1669617 2072628 2226156 3339234 4145256 4452312 5008851 6678468 10017702 13356936 15026553 20035404 30053106 40070808 60106212 120212424