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12212927844096 = 283753199215393
BaseRepresentation
bin1011000110111000101100…
…1110011100111100000000
31121020112200221101022110110
42301232023032130330000
53100044034012002341
641550312552431320
72400232510561050
oct261561316347400
947215627338413
1012212927844096
113989523417681
121452b449a8540
136a789c168845
14303174a05560
15162a462e2216
hexb1b8b39cf00

12212927844096 has 288 divisors, whose sum is σ = 38038925030400. Its totient is φ = 3406350385152.

The previous prime is 12212927844083. The next prime is 12212927844197. The reversal of 12212927844096 is 69044872921221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56592976 + ... + 56808368.

It is an arithmetic number, because the mean of its divisors is an integer number (132079600800).

Almost surely, 212212927844096 is an apocalyptic number.

12212927844096 is a gapful number since it is divisible by the number (16) 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 12212927844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019462515200).

12212927844096 is an abundant number, since it is smaller than the sum of its proper divisors (25825997186304).

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

12212927844096 is a wasteful number, since it uses less digits than its factorization.

12212927844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215671 (or 215657 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 12212927844096 in words is "twelve trillion, two hundred twelve billion, nine hundred twenty-seven million, eight hundred forty-four thousand, ninety-six".