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12110210211000 = 2335311715168677
BaseRepresentation
bin1011000000111010000011…
…0001110001110010111000
31120212201120101000220110010
42300032200301301302320
53041403202303223000
641431204225221520
72356635204236016
oct260164061616270
946781511026403
1012110210211000
113949a02a51610
121437058a918a0
1369acac60a6a5
142dc1cca818b6
151600336dcd50
hexb03a0c71cb8

12110210211000 has 256 divisors, whose sum is σ = 41799305733120. Its totient is φ = 2894458560000.

The previous prime is 12110210210983. The next prime is 12110210211013. The reversal of 12110210211000 is 11201201121.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241339 + ... + 4927338.

It is an arithmetic number, because the mean of its divisors is an integer number (163278538020).

Almost surely, 212110210211000 is an apocalyptic number.

12110210211000 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 12110210211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20899652866560).

12110210211000 is an abundant number, since it is smaller than the sum of its proper divisors (29689095522120).

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

12110210211000 is a wasteful number, since it uses less digits than its factorization.

12110210211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168783 (or 5168769 counting only the distinct ones).

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

Adding to 12110210211000 its reverse (11201201121), we get a palindrome (12121411412121).

The spelling of 12110210211000 in words is "twelve trillion, one hundred ten billion, two hundred ten million, two hundred eleven thousand".