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12203004120 = 2335739471471
BaseRepresentation
bin10110101110101101…
…10001000011011000
31011111110002211122120
423113112301003120
5144442432112440
65334520421240
7611254552326
oct132726610330
934443084576
1012203004120
1151a230667a
122446917820
1311c62312c8
1483a982d16
154b64bedd0
hex2d75b10d8

12203004120 has 128 divisors (see below), whose sum is σ = 37174947840. Its totient is φ = 3203988480.

The previous prime is 12203004113. The next prime is 12203004157. The reversal of 12203004120 is 2140030221.

12203004120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12203004120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8294985 + ... + 8296455.

It is an arithmetic number, because the mean of its divisors is an integer number (290429280).

Almost surely, 212203004120 is an apocalyptic number.

12203004120 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 12203004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18587473920).

12203004120 is an abundant number, since it is smaller than the sum of its proper divisors (24971943720).

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

12203004120 is a wasteful number, since it uses less digits than its factorization.

12203004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12203004120 its reverse (2140030221), we get a palindrome (14343034341).

The spelling of 12203004120 in words is "twelve billion, two hundred three million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 947 1095 1460 1471 1752 1894 2190 2841 2920 2942 3788 4380 4413 4735 5682 5884 7355 7576 8760 8826 9470 11364 11768 14205 14710 17652 18940 22065 22728 28410 29420 35304 37880 44130 56820 58840 69131 88260 107383 113640 138262 176520 207393 214766 276524 322149 345655 414786 429532 536915 553048 644298 691310 829572 859064 1036965 1073830 1288596 1382620 1393037 1610745 1659144 2073930 2147660 2577192 2765240 2786074 3221490 4147860 4179111 4295320 5572148 6442980 6965185 8295720 8358222 11144296 12885960 13930370 16716444 20895555 27860740 33432888 41791110 55721480 83582220 101691701 167164440 203383402 305075103 406766804 508458505 610150206 813533608 1016917010 1220300412 1525375515 2033834020 2440600824 3050751030 4067668040 6101502060 12203004120