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12102110211000 = 2335319225743481
BaseRepresentation
bin1011000000011011110111…
…1110101110101110111000
31120211221122212110021100010
42300012331332232232320
53041240110203223000
641423344354141520
72356230400333455
oct260067576565670
946757585407303
1012102110211000
113946526792737
1214355782818a0
1369a2bb453a94
142dba60dc682c
1515ec0c53cd50
hexb01bdfaebb8

12102110211000 has 384 divisors, whose sum is σ = 40006452432960. Its totient is φ = 3045408768000.

The previous prime is 12102110210987. The next prime is 12102110211013. The reversal of 12102110211000 is 11201120121.

It is an interprime number because it is at equal distance from previous prime (12102110210987) and next prime (12102110211013).

It is a super-2 number, since 2×121021102110002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 278309260 + ... + 278352740.

Almost surely, 212102110211000 is an apocalyptic number.

12102110211000 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 12102110211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003226216480).

12102110211000 is an abundant number, since it is smaller than the sum of its proper divisors (27904342221960).

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

12102110211000 is a wasteful number, since it uses less digits than its factorization.

12102110211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43800 (or 43767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102110211000 its reverse (11201120121), we get a palindrome (12113311331121).

The spelling of 12102110211000 in words is "twelve trillion, one hundred two billion, one hundred ten million, two hundred eleven thousand".