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12122221102110 = 23357253101171169
BaseRepresentation
bin1011000001100110110010…
…1011101100010000011110
31120220212120102122101121000
42300121230223230100132
53042102302100231420
641440512124251130
72360541640153200
oct260315453542036
946825512571530
1012122221102110
1139540068718a9
12143944b3a0aa6
1369c174ab6552
142dca0bcd6770
151604d7db0690
hexb066caec41e

12122221102110 has 384 divisors, whose sum is σ = 38692690934400. Its totient is φ = 2691582566400.

The previous prime is 12122221102081. The next prime is 12122221102111. The reversal of 12122221102110 is 1120112222121.

12122221102110 is a `hidden beast` number, since 1 + 21 + 222 + 211 + 0 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122221102111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70734606 + ... + 70905774.

It is an arithmetic number, because the mean of its divisors is an integer number (100762215975).

Almost surely, 212122221102110 is an apocalyptic number.

12122221102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122221102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346345467200).

12122221102110 is an abundant number, since it is smaller than the sum of its proper divisors (26570469832290).

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

12122221102110 is a wasteful number, since it uses less digits than its factorization.

12122221102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171353 (or 171340 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122221102110 its reverse (1120112222121), we get a palindrome (13242333324231).

The spelling of 12122221102110 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred ten".