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12101112210222 = 23272739713714143
BaseRepresentation
bin1011000000011000001001…
…1111101010001100101110
31120211212002022112120122100
42300012002133222030232
53041231034211211342
641423101343355530
72356163561430300
oct260060237521456
946755068476570
1012101112210222
113946064404a02
121435339bb2ba6
1369a18c766889
142db9a8639970
1515eb9eb03e4c
hexb01827ea32e

12101112210222 has 288 divisors, whose sum is σ = 31466511078912. Its totient is φ = 3350071001088.

The previous prime is 12101112210193. The next prime is 12101112210227. The reversal of 12101112210222 is 22201221110121.

12101112210222 is a `hidden beast` number, since 1 + 210 + 1 + 11 + 221 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12101112210195 and 12101112210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101112210227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 855618483 + ... + 855632625.

It is an arithmetic number, because the mean of its divisors is an integer number (109258719024).

Almost surely, 212101112210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101112210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733255539456).

12101112210222 is an abundant number, since it is smaller than the sum of its proper divisors (19365398868690).

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

12101112210222 is a wasteful number, since it uses less digits than its factorization.

12101112210222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14472 (or 14462 counting only the distinct ones).

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

Adding to 12101112210222 its reverse (22201221110121), we get a palindrome (34302333320343).

The spelling of 12101112210222 in words is "twelve trillion, one hundred one billion, one hundred twelve million, two hundred ten thousand, two hundred twenty-two".