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12044013200 = 2452294722091
BaseRepresentation
bin10110011011110000…
…10000111010010000
31011002100221021002222
423031320100322100
5144131231410300
65311041000212
7604314265052
oct131570207220
934070837088
1012044013200
11512059341a
122401623068
13119c304c3b
148237d78d2
154a7566785
hex2cde10e90

12044013200 has 120 divisors (see below), whose sum is σ = 30571793280. Its totient is φ = 4552307200.

The previous prime is 12044013193. The next prime is 12044013271. The reversal of 12044013200 is 231044021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534155 + ... + 556245.

It is an arithmetic number, because the mean of its divisors is an integer number (254764944).

Almost surely, 212044013200 is an apocalyptic number.

12044013200 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 12044013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285896640).

12044013200 is an abundant number, since it is smaller than the sum of its proper divisors (18527780080).

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

12044013200 is a wasteful number, since it uses less digits than its factorization.

12044013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22185 (or 22174 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12044013200 its reverse (231044021), we get a palindrome (12275057221).

The spelling of 12044013200 in words is "twelve billion, forty-four million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 47 50 58 80 94 100 116 145 188 200 232 235 290 376 400 464 470 580 725 752 940 1160 1175 1363 1450 1880 2320 2350 2726 2900 3760 4700 5452 5800 6815 9400 10904 11600 13630 18800 21808 22091 27260 34075 44182 54520 68150 88364 109040 110455 136300 176728 220910 272600 353456 441820 545200 552275 640639 883640 1038277 1104550 1281278 1767280 2076554 2209100 2562556 3203195 4153108 4418200 5125112 5191385 6406390 8306216 8836400 10250224 10382770 12812780 16015975 16612432 20765540 25625560 25956925 30110033 32031950 41531080 51251120 51913850 60220066 64063900 83062160 103827700 120440132 128127800 150550165 207655400 240880264 256255600 301100330 415310800 481760528 602200660 752750825 1204401320 1505501650 2408802640 3011003300 6022006600 12044013200