Search a number
-
+
122201200112200 = 235211130342629317
BaseRepresentation
bin11011110010010000101111…
…000111111011001001001000
3121000200022122202010120211221
4123302100233013323021020
5112004121024212042300
61111522242322331424
734511513441342506
oct3362205707731110
9530608582116757
10122201200112200
1135a34268759260
12118574b27b9b74
1353256a6813771
1422267d915d676
15e1db0111631a
hex6f242f1fb248

122201200112200 has 96 divisors (see below), whose sum is σ = 310184559149760. Its totient is φ = 44402695545600.

The previous prime is 122201200112197. The next prime is 122201200112207. The reversal of 122201200112200 is 2211002102221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122201200112207) 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, 18448059 + ... + 24181258.

It is an arithmetic number, because the mean of its divisors is an integer number (3231089157810).

Almost surely, 2122201200112200 is an apocalyptic number.

122201200112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201200112200 is an abundant number, since it is smaller than the sum of its proper divisors (187983359037560).

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

122201200112200 is a wasteful number, since it uses less digits than its factorization.

122201200112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42630647 (or 42630638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122201200112200 its reverse (2211002102221), we get a palindrome (124412202214421).

The spelling of 122201200112200 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1303 2200 2606 5212 6515 10424 13030 14333 26060 28666 32575 52120 57332 65150 71665 114664 130300 143330 260600 286660 358325 573320 716650 1433300 2866600 42629317 85258634 170517268 213146585 341034536 426293170 468922487 852586340 937844974 1065732925 1705172680 1875689948 2131465850 2344612435 3751379896 4262931700 4689224870 8525863400 9378449740 11723062175 18756899480 23446124350 46892248700 55546000051 93784497400 111092000102 222184000204 277730000255 444368000408 555460000510 611006000561 1110920001020 1222012001122 1388650001275 2221840002040 2444024002244 2777300002550 3055030002805 4888048004488 5554600005100 6110060005610 11109200010200 12220120011220 15275150014025 24440240022440 30550300028050 61100600056100 122201200112200