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12102120220212 = 2232113743157112227
BaseRepresentation
bin1011000000011011111010…
…0100111010011000110100
31120211221200120021210101200
42300012332210322120310
53041240120234021322
641423345352452500
72356230551402031
oct260067644723064
946757616253350
1012102120220212
1139465313a9810
12143557b6aa130
1369a2c05498a9
142dba62470388
1515ec0d3688ac
hexb01be93a634

12102120220212 has 288 divisors, whose sum is σ = 35096748470784. Its totient is φ = 3482708140800.

The previous prime is 12102120220163. The next prime is 12102120220243. The reversal of 12102120220212 is 21202202120121.

It is a happy number.

12102120220212 is a `hidden beast` number, since 1 + 21 + 0 + 212 + 0 + 220 + 212 = 666.

It is a super-2 number, since 2×121021202202122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 989780443 + ... + 989792669.

It is an arithmetic number, because the mean of its divisors is an integer number (121863709968).

Almost surely, 212102120220212 is an apocalyptic number.

12102120220212 is a gapful number since it is divisible by the number (12) 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 12102120220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548374235392).

12102120220212 is an abundant number, since it is smaller than the sum of its proper divisors (22994628250572).

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

12102120220212 is a wasteful number, since it uses less digits than its factorization.

12102120220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899 (or 13894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12102120220212 its reverse (21202202120121), we get a palindrome (33304322340333).

The spelling of 12102120220212 in words is "twelve trillion, one hundred two billion, one hundred twenty million, two hundred twenty thousand, two hundred twelve".