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122212200020200 = 23522961633418963
BaseRepresentation
bin11011110010011010111110…
…110001001111100011101000
3121000201101001100101210212221
4123302122332301033203220
5112004311041201121300
61111531302024443424
734512353150123233
oct3362327661174350
9530641040353787
10122212200020200
1135a389a2933a14
1211859662619574
13532673a708274
14222716000841a
15e1e046b8831a
hex6f26bec4f8e8

122212200020200 has 96 divisors (see below), whose sum is σ = 293989192639200. Its totient is φ = 47191522210560.

The previous prime is 122212200020177. The next prime is 122212200020213. The reversal of 122212200020200 is 2020002212221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34035919 + ... + 37454881.

It is an arithmetic number, because the mean of its divisors is an integer number (3062387423325).

Almost surely, 2122212200020200 is an apocalyptic number.

122212200020200 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 122212200020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146994596319600).

122212200020200 is an abundant number, since it is smaller than the sum of its proper divisors (171776992619000).

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

122212200020200 is a wasteful number, since it uses less digits than its factorization.

122212200020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425171 (or 3425162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122212200020200 its reverse (2020002212221), we get a palindrome (124232202232421).

The spelling of 122212200020200 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 6163 12326 24652 30815 49304 61630 123260 154075 178727 246520 308150 357454 616300 714908 893635 1232600 1429816 1787270 3418963 3574540 4468175 6837926 7149080 8936350 13675852 17094815 17872700 27351704 34189630 35745400 68379260 85474075 99149927 136758520 170948150 198299854 341896300 396599708 495749635 683792600 793199416 991499270 1982998540 2478748175 3965997080 4957496350 9914992700 19829985400 21071068969 42142137938 84284275876 105355344845 168568551752 210710689690 421421379380 526776724225 611061000101 842842758760 1053553448450 1222122000202 2107106896900 2444244000404 3055305000505 4214213793800 4888488000808 6110610001010 12221220002020 15276525002525 24442440004040 30553050005050 61106100010100 122212200020200