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121231240 = 23513376301
BaseRepresentation
bin1110011100111…
…01011110001000
322110010011222221
413032131132020
5222013344430
620010223424
73001306564
oct716353610
9273104887
10121231240
1162482909
1234724b74
131c168480
141215a6a4
15a99a57a
hex739d788

121231240 has 64 divisors (see below), whose sum is σ = 301739760. Its totient is φ = 43545600.

The previous prime is 121231237. The next prime is 121231241. The reversal of 121231240 is 42132121.

It can be written as a sum of positive squares in 8 ways, for example, as 63075364 + 58155876 = 7942^2 + 7626^2 .

It is not an unprimeable number, because it can be changed into a prime (121231241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16090 + ... + 22390.

Almost surely, 2121231240 is an apocalyptic number.

121231240 is a gapful number since it is divisible by the number (10) 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 121231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150869880).

121231240 is an abundant number, since it is smaller than the sum of its proper divisors (180508520).

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

121231240 is a wasteful number, since it uses less digits than its factorization.

121231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 121231240 is about 11010.5058921014. The cubic root of 121231240 is about 494.9236218583.

Adding to 121231240 its reverse (42132121), we get a palindrome (163363361).

It can be divided in two parts, 121 and 231240, that added together give a square (231361 = 4812).

The spelling of 121231240 in words is "one hundred twenty-one million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 6301 9620 12602 19240 25204 31505 50408 63010 81913 126020 163826 233137 252040 327652 409565 466274 655304 819130 932548 1165685 1638260 1865096 2331370 3030781 3276520 4662740 6061562 9325480 12123124 15153905 24246248 30307810 60615620 121231240