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2220021121200 = 243526727612203
BaseRepresentation
bin100000010011100011100…
…100100000000010110000
321212020021002101212112220
4200103203210200002300
5242333100401334300
64415510313121040
7316251123114561
oct40234344400260
97766232355486
102220021121200
11786562057743
122ba3086b9180
13131468744a0c
1479641994168
153cb33e90da0
hex204e39200b0

2220021121200 has 120 divisors (see below), whose sum is σ = 7217609227968. Its totient is φ = 583169706240.

The previous prime is 2220021121193. The next prime is 2220021121207. The reversal of 2220021121200 is 21211200222.

It is an interprime number because it is at equal distance from previous prime (2220021121193) and next prime (2220021121207).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2220021121200.

It is not an unprimeable number, because it can be changed into a prime (2220021121207) by changing a digit.

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, 13725702 + ... + 13886501.

Almost surely, 22220021121200 is an apocalyptic number.

2220021121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220021121200 is an abundant number, since it is smaller than the sum of its proper divisors (4997588106768).

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

2220021121200 is a wasteful number, since it uses less digits than its factorization.

2220021121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27612291 (or 27612280 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2220021121200 its reverse (21211200222), we get a palindrome (2241232321422).

The spelling of 2220021121200 in words is "two trillion, two hundred twenty billion, twenty-one million, one 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 67 75 80 100 120 134 150 200 201 240 268 300 335 400 402 536 600 670 804 1005 1072 1200 1340 1608 1675 2010 2680 3216 3350 4020 5025 5360 6700 8040 10050 13400 16080 20100 26800 40200 80400 27612203 55224406 82836609 110448812 138061015 165673218 220897624 276122030 331346436 414183045 441795248 552244060 662692872 690305075 828366090 1104488120 1325385744 1380610150 1656732180 1850017601 2070915225 2208976240 2761220300 3313464360 3700035202 4141830450 5522440600 5550052803 6626928720 7400070404 8283660900 9250088005 11044881200 11100105606 14800140808 16567321800 18500176010 22200211212 27750264015 29600281616 33134643600 37000352020 44400422424 46250440025 55500528030 74000704040 88800844848 92500880050 111001056060 138751320075 148001408080 185001760100 222002112120 277502640150 370003520200 444004224240 555005280300 740007040400 1110010560600 2220021121200