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220101212000 = 2553304918047
BaseRepresentation
bin1100110011111100001…
…1011111011101100000
3210001010020021001111202
43030333003133131200
512101231402241000
6245040232500332
721621212301425
oct3147703373540
9701106231452
10220101212000
118538743a2aa
12367a754a6a8
13179a8973167
14a91d9d1d4c
155ad3033dd5
hex333f0df760

220101212000 has 96 divisors (see below), whose sum is σ = 540996019200. Its totient is φ = 88006732800.

The previous prime is 220101211969. The next prime is 220101212047. The reversal of 220101212000 is 212101022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12186977 + ... + 12205023.

It is an arithmetic number, because the mean of its divisors is an integer number (5635375200).

Almost surely, 2220101212000 is an apocalyptic number.

220101212000 is a gapful number since it is divisible by the number (20) 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 220101212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270498009600).

220101212000 is an abundant number, since it is smaller than the sum of its proper divisors (320894807200).

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

220101212000 is a wasteful number, since it uses less digits than its factorization.

220101212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21121 (or 21103 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220101212000 its reverse (212101022), we get a palindrome (220313313022).

The spelling of 220101212000 in words is "two hundred twenty billion, one hundred one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3049 4000 6098 12196 15245 18047 24392 30490 36094 48784 60980 72188 76225 90235 97568 121960 144376 152450 180470 243920 288752 304900 360940 381125 451175 487840 577504 609800 721880 762250 902350 1219600 1443760 1524500 1804700 2255875 2439200 2887520 3049000 3609400 4511750 6098000 7218800 9023500 12196000 14437600 18047000 36094000 55025303 72188000 110050606 220101212 275126515 440202424 550253030 880404848 1100506060 1375632575 1760809696 2201012120 2751265150 4402024240 5502530300 6878162875 8804048480 11005060600 13756325750 22010121200 27512651500 44020242400 55025303000 110050606000 220101212000