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12212212110120 = 233251137139599629
BaseRepresentation
bin1011000110110110000010…
…0100001001001100101000
31121020110212001121021000200
42301231200210021030220
53100041102300010440
641550113544032200
72400206000126061
oct261554044111450
947213761537020
1012212212110120
1139891964010a0
121452985162660
136a77b6aaaa09
14303107933568
15162a03562c30
hexb1b60909328

12212212110120 has 384 divisors, whose sum is σ = 44788043664000. Its totient is φ = 2859793827840.

The previous prime is 12212212110031. The next prime is 12212212110127. The reversal of 12212212110120 is 2101121221221.

12212212110120 is a `hidden beast` number, since 1 + 221 + 2 + 212 + 110 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12212212110093 and 12212212110102.

It is not an unprimeable number, because it can be changed into a prime (12212212110127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20066466 + ... + 20666094.

It is an arithmetic number, because the mean of its divisors is an integer number (116635530375).

Almost surely, 212212212110120 is an apocalyptic number.

12212212110120 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 12212212110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394021832000).

12212212110120 is an abundant number, since it is smaller than the sum of its proper divisors (32575831553880).

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

12212212110120 is a wasteful number, since it uses less digits than its factorization.

12212212110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599833 (or 599826 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212212110120 its reverse (2101121221221), we get a palindrome (14313333331341).

The spelling of 12212212110120 in words is "twelve trillion, two hundred twelve billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".