Search a number
-
+
12102112210000 = 24544356949463
BaseRepresentation
bin1011000000011011111000…
…0110010110110001010000
31120211221200000012211110011
42300012332012112301100
53041240111211210000
641423344505044304
72356230423330451
oct260067606266120
946757600184404
1012102112210000
1139465279285aa
121435578a86694
1369a2bb9a3917
142dba61387128
1515ec0c7d52ba
hexb01be196c50

12102112210000 has 200 divisors, whose sum is σ = 30035128432320. Its totient is φ = 4719861888000.

The previous prime is 12102112209989. The next prime is 12102112210021. The reversal of 12102112210000 is 1221120121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×121021122100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 244645269 + ... + 244694731.

Almost surely, 212102112210000 is an apocalyptic number.

12102112210000 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 12102112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017564216160).

12102112210000 is an abundant number, since it is smaller than the sum of its proper divisors (17933016222320).

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

12102112210000 is an equidigital number, since it uses as much as digits as its factorization.

12102112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50103 (or 50082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12102112210000 its reverse (1221120121), we get a palindrome (12103333330121).

The spelling of 12102112210000 in words is "twelve trillion, one hundred two billion, one hundred twelve million, two hundred ten thousand".