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12102212000000 = 285628310691
BaseRepresentation
bin1011000000011100010000…
…0011000001100100000000
31120211221220221222200121002
42300013010003001210000
53041240312233000000
641423402431551132
72356233044456423
oct260070403014400
946757827880532
1012102212000000
113946579196281
1214355a638b4a8
1369a306572965
142dba707219ba
1515ec164478d5
hexb01c40c1900

12102212000000 has 252 divisors, whose sum is σ = 30305584896048. Its totient is φ = 4823328000000.

The previous prime is 12102211999907. The next prime is 12102212000041. The reversal of 12102212000000 is 21220121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1131994655 + ... + 1132005345.

It is an arithmetic number, because the mean of its divisors is an integer number (120260257524).

Almost surely, 212102212000000 is an apocalyptic number.

12102212000000 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 12102212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152792448024).

12102212000000 is an abundant number, since it is smaller than the sum of its proper divisors (18203372896048).

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

12102212000000 is an frugal number, since it uses more digits than its factorization.

12102212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11020 (or 10981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12102212000000 its reverse (21220121), we get a palindrome (12102233220121).

The spelling of 12102212000000 in words is "twelve trillion, one hundred two billion, two hundred twelve million", and thus it is an aban number.