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12210110121000 = 2335311259570113
BaseRepresentation
bin1011000110101110001101…
…0001101100010000101000
31121020021102120100011000210
42301223203101230100220
53100022301142333000
641545125215101120
72400102624405651
oct261534321542050
947207376304023
1012210110121000
113988307934600
1214524992117a0
136a754047467c
14302d886ca528
1516292dc56350
hexb1ae346c428

12210110121000 has 384 divisors, whose sum is σ = 42583410979200. Its totient is φ = 2909851648000.

The previous prime is 12210110120993. The next prime is 12210110121019. The reversal of 12210110121000 is 12101101221.

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

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 95 ways as a sum of consecutive naturals, for example, 21131944 + ... + 21702056.

It is an arithmetic number, because the mean of its divisors is an integer number (110894299425).

Almost surely, 212210110121000 is an apocalyptic number.

12210110121000 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 12210110121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21291705489600).

12210110121000 is an abundant number, since it is smaller than the sum of its proper divisors (30373300858200).

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

12210110121000 is a wasteful number, since it uses less digits than its factorization.

12210110121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570218 (or 570193 counting only the distinct ones).

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

Adding to 12210110121000 its reverse (12101101221), we get a palindrome (12222211222221).

The spelling of 12210110121000 in words is "twelve trillion, two hundred ten billion, one hundred ten million, one hundred twenty-one thousand".