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12102212022200 = 23522331831022509
BaseRepresentation
bin1011000000011100010000…
…0011000110111110111000
31120211221220222000211001022
42300013010003012332320
53041240312234202300
641423402432242012
72356233044611226
oct260070403067670
946757828024038
1012102212022200
113946579200a23
1214355a63a0308
1369a30657cab1
142dba70729b16
1515ec1644e285
hexb01c40c6fb8

12102212022200 has 192 divisors, whose sum is σ = 30673336780800. Its totient is φ = 4427050636800.

The previous prime is 12102212022181. The next prime is 12102212022203. The reversal of 12102212022200 is 222021220121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102212022203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11324546 + ... + 12347054.

It is an arithmetic number, because the mean of its divisors is an integer number (159756962400).

Almost surely, 212102212022200 is an apocalyptic number.

12102212022200 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 12102212022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336668390400).

12102212022200 is an abundant number, since it is smaller than the sum of its proper divisors (18571124758600).

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

12102212022200 is a wasteful number, since it uses less digits than its factorization.

12102212022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022662 (or 1022653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12102212022200 its reverse (222021220121), we get a palindrome (12324233242321).

The spelling of 12102212022200 in words is "twelve trillion, one hundred two billion, two hundred twelve million, twenty-two thousand, two hundred".