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122324472200 = 23527235332
BaseRepresentation
bin111000111101100011…
…0110101000110001000
3102200202000002000220102
41301323012311012020
54001010031102300
6132110045544532
711560212600200
oct1617306650610
9380660060812
10122324472200
1147971a80527
121b85a275148
13b6c594a3c8
145cc5d45400
1532ae0ad0d5
hex1c7b1b5188

122324472200 has 108 divisors (see below), whose sum is σ = 330931437615. Its totient is φ = 41927948160.

The previous prime is 122324472191. The next prime is 122324472211. The reversal of 122324472200 is 2274423221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 85262832004 + 37061640196 = 291998^2 + 192514^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247310.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34621634 + ... + 34625166.

Almost surely, 2122324472200 is an apocalyptic number.

122324472200 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 122324472200

122324472200 is an abundant number, since it is smaller than the sum of its proper divisors (208606965415).

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

122324472200 is an frugal number, since it uses more digits than its factorization.

122324472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

Adding to 122324472200 its reverse (2274423221), we get a palindrome (124598895421).

The spelling of 122324472200 in words is "one hundred twenty-two billion, three hundred twenty-four million, four hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 3533 4900 7066 9800 14132 17665 24731 28264 35330 49462 70660 88325 98924 123655 141320 173117 176650 197848 247310 346234 353300 494620 618275 692468 706600 865585 989240 1236550 1384936 1731170 2473100 3462340 4327925 4946200 6924680 8655850 12482089 17311700 24964178 34623400 49928356 62410445 87374623 99856712 124820890 174749246 249641780 312052225 349498492 436873115 499283560 611622361 624104450 698996984 873746230 1223244722 1248208900 1747492460 2184365575 2446489444 2496417800 3058111805 3494984920 4368731150 4892978888 6116223610 8737462300 12232447220 15290559025 17474924600 24464894440 30581118050 61162236100 122324472200