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12021045200 = 2452291036297
BaseRepresentation
bin10110011001000001…
…01001011111010000
31011000202201100221022
423030200221133100
5144104341421300
65304500415012
7603615125003
oct131440513720
934022640838
1012021045200
1151096261aa
1223b59a7468
1311976228c8
1482073953a
154a552b285
hex2cc8297d0

12021045200 has 60 divisors (see below), whose sum is σ = 29876471340. Its totient is φ = 4642606080.

The previous prime is 12021045199. The next prime is 12021045209. The reversal of 12021045200 is 254012021.

It can be written as a sum of positive squares in 6 ways, for example, as 174028864 + 11847016336 = 13192^2 + 108844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021045209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506549 + ... + 529748.

It is an arithmetic number, because the mean of its divisors is an integer number (497941189).

Almost surely, 212021045200 is an apocalyptic number.

12021045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021045200 is an abundant number, since it is smaller than the sum of its proper divisors (17855426140).

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

12021045200 is a wasteful number, since it uses less digits than its factorization.

12021045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036344 (or 1036333 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 12021045200 its reverse (254012021), we get a palindrome (12275057221).

The spelling of 12021045200 in words is "twelve billion, twenty-one million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 1036297 2072594 4145188 5181485 8290376 10362970 16580752 20725940 25907425 30052613 41451880 51814850 60105226 82903760 103629700 120210452 150263065 207259400 240420904 300526130 414518800 480841808 601052260 751315325 1202104520 1502630650 2404209040 3005261300 6010522600 12021045200