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122201020000 = 255440914939
BaseRepresentation
bin111000111001110111…
…1111001011001100000
3102200102101210000022201
41301303233321121200
54000231430120000
6132045515542544
711554153350223
oct1616357713140
9380371700281
10122201020000
1147909321014
121b824a5aa54
13b6a61b5077
145cb37ab5ba
1532a332496a
hex1c73bf9660

122201020000 has 120 divisors (see below), whose sum is σ = 301388056200. Its totient is φ = 48757632000.

The previous prime is 122201019979. The next prime is 122201020013. The reversal of 122201020000 is 20102221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8172531 + ... + 8187469.

It is an arithmetic number, because the mean of its divisors is an integer number (2511567135).

Almost surely, 2122201020000 is an apocalyptic number.

122201020000 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 122201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150694028100).

122201020000 is an abundant number, since it is smaller than the sum of its proper divisors (179187036200).

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

122201020000 is an equidigital number, since it uses as much as digits as its factorization.

122201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15378 (or 15355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122201020000 its reverse (20102221), we get a palindrome (122221122221).

The spelling of 122201020000 in words is "one hundred twenty-two billion, two hundred one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 409 500 625 800 818 1000 1250 1636 2000 2045 2500 3272 4000 4090 5000 6544 8180 10000 10225 13088 14939 16360 20000 20450 29878 32720 40900 51125 59756 65440 74695 81800 102250 119512 149390 163600 204500 239024 255625 298780 327200 373475 409000 478048 511250 597560 746950 818000 1022500 1195120 1493900 1636000 1867375 2045000 2390240 2987800 3734750 4090000 5975600 6110051 7469500 8180000 9336875 11951200 12220102 14939000 18673750 24440204 29878000 30550255 37347500 48880408 59756000 61100510 74695000 97760816 122201020 149390000 152751275 195521632 244402040 298780000 305502550 488804080 611005100 763756375 977608160 1222010200 1527512750 2444020400 3055025500 3818781875 4888040800 6110051000 7637563750 12220102000 15275127500 24440204000 30550255000 61100510000 122201020000