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12002221200 = 2435236727253
BaseRepresentation
bin10110010110110001…
…10101110010010000
31010222110022000021010
423023120311302100
5144040032034300
65302545130520
7603266124354
oct131330656220
933873260233
1012002221200
1150a9a39482
1223ab629a40
131193761848
1481c039464
154a3a5da50
hex2cb635c90

12002221200 has 120 divisors (see below), whose sum is σ = 38553290368. Its totient is φ = 3191754240.

The previous prime is 12002221177. The next prime is 12002221201. The reversal of 12002221200 is 212220021.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (12002221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426774 + ... + 454026.

Almost surely, 212002221200 is an apocalyptic number.

12002221200 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 12002221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276645184).

12002221200 is an abundant number, since it is smaller than the sum of its proper divisors (26551069168).

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

12002221200 is a wasteful number, since it uses less digits than its factorization.

12002221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27641 (or 27630 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002221200 its reverse (212220021), we get a palindrome (12214441221).

The spelling of 12002221200 in words is "twelve billion, two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 367 400 600 734 1101 1200 1468 1835 2202 2936 3670 4404 5505 5872 7340 8808 9175 11010 14680 17616 18350 22020 27253 27525 29360 36700 44040 54506 55050 73400 81759 88080 109012 110100 136265 146800 163518 218024 220200 272530 327036 408795 436048 440400 545060 654072 681325 817590 1090120 1308144 1362650 1635180 2043975 2180240 2725300 3270360 4087950 5450600 6540720 8175900 10001851 10901200 16351800 20003702 30005553 32703600 40007404 50009255 60011106 80014808 100018510 120022212 150027765 160029616 200037020 240044424 250046275 300055530 400074040 480088848 500092550 600111060 750138825 800148080 1000185100 1200222120 1500277650 2000370200 2400444240 3000555300 4000740400 6001110600 12002221200