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122212101012 = 223431911240027
BaseRepresentation
bin111000111010001101…
…0001010101110010100
3102200110011121222121120
41301310122022232110
54000242244213022
6132050553243540
711554346501331
oct1616432125624
9380404558546
10122212101012
11479145aa381
121b8287035b0
13b6a8594991
145cb5053988
1532a42b2d5c
hex1c7468ab94

122212101012 has 48 divisors (see below), whose sum is σ = 293321183232. Its totient is φ = 39581629920.

The previous prime is 122212100993. The next prime is 122212101031. The reversal of 122212101012 is 210101212221.

It is an interprime number because it is at equal distance from previous prime (122212100993) and next prime (122212101031).

It is a junction number, because it is equal to n+sod(n) for n = 122212100982 and 122212101000.

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, 521458 + ... + 718569.

It is an arithmetic number, because the mean of its divisors is an integer number (6110857984).

Almost surely, 2122212101012 is an apocalyptic number.

122212101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122212101012 is an abundant number, since it is smaller than the sum of its proper divisors (171109082220).

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

122212101012 is a wasteful number, since it uses less digits than its factorization.

122212101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240268 (or 1240266 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122212101012 its reverse (210101212221), we get a palindrome (332313313233).

It can be divided in two parts, 12221 and 2101012, that multiplied together give a palindrome (25676467652).

The spelling of 122212101012 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 191 258 382 516 573 764 1146 2292 8213 16426 24639 32852 49278 98556 1240027 2480054 3720081 4960108 7440162 14880324 53321161 106642322 159963483 213284644 236845157 319926966 473690314 639853932 710535471 947380628 1421070942 2842141884 10184341751 20368683502 30553025253 40737367004 61106050506 122212101012