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12102111000 = 2332537192097
BaseRepresentation
bin10110100010101011…
…11000111100011000
31011020102020221022100
423101111320330120
5144241120023000
65320514123400
7605621150310
oct132125707430
934212227270
1012102111000
115150365131
122418b80560
1311ab367135
1482b3dc440
154ac6e0a00
hex2d1578f18

12102111000 has 192 divisors, whose sum is σ = 46748969280. Its totient is φ = 2766182400.

The previous prime is 12102110927. The next prime is 12102111013. The reversal of 12102111000 is 11120121.

It is a happy number.

12102111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121021110002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33049 + ... + 159048.

It is an arithmetic number, because the mean of its divisors is an integer number (243484215).

Almost surely, 212102111000 is an apocalyptic number.

12102111000 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 12102111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23374484640).

12102111000 is an abundant number, since it is smaller than the sum of its proper divisors (34646858280).

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

12102111000 is a wasteful number, since it uses less digits than its factorization.

12102111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192131 (or 192114 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12102111000 its reverse (11120121), we get a palindrome (12113231121).

The spelling of 12102111000 in words is "twelve billion, one hundred two million, one hundred eleven thousand".