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12121032 = 2337211937
BaseRepresentation
bin101110001111…
…001111001000
3211210210221010
4232033033020
511100333112
61111443520
7205012200
oct56171710
924723833
1012121032
116929790
1240865a0
132685111
141877400
1510e663c
hexb8f3c8

12121032 has 96 divisors (see below), whose sum is σ = 38495520. Its totient is φ = 3144960.

The previous prime is 12121009. The next prime is 12121061. The reversal of 12121032 is 23012121.

Added to its reverse (23012121) it gives a triangular number (35133153 = T8382).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12120999 and 12121017.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12468 + ... + 13404.

It is an arithmetic number, because the mean of its divisors is an integer number (400995).

Almost surely, 212121032 is an apocalyptic number.

12121032 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 12121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247760).

12121032 is an abundant number, since it is smaller than the sum of its proper divisors (26374488).

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

12121032 is a wasteful number, since it uses less digits than its factorization.

12121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12121032 is about 3481.5272510782. The cubic root of 12121032 is about 229.7099810195.

Adding to 12121032 its reverse (23012121), we get a palindrome (35133153).

The spelling of 12121032 in words is "twelve million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 937 1078 1176 1617 1848 1874 2156 2811 3234 3748 4312 5622 6468 6559 7496 10307 11244 12936 13118 19677 20614 22488 26236 30921 39354 41228 45913 52472 61842 72149 78708 82456 91826 123684 137739 144298 157416 183652 216447 247368 275478 288596 367304 432894 505043 550956 577192 865788 1010086 1101912 1515129 1731576 2020172 3030258 4040344 6060516 12121032