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12266160220 = 22519437197109
BaseRepresentation
bin10110110110001111…
…01100000001011100
31011122211221111112101
423123013230001130
5200110114111340
65345054214444
7612652433026
oct133307540134
934584844471
1012266160220
115224a227a6
122463ab4424
131206344992
14845103016
154bbce7c9a
hex2db1ec05c

12266160220 has 192 divisors, whose sum is σ = 28686873600. Its totient is φ = 4389396480.

The previous prime is 12266160211. The next prime is 12266160287. The reversal of 12266160220 is 2206166221.

12266160220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 112533526 + ... + 112533634.

It is an arithmetic number, because the mean of its divisors is an integer number (149410800).

Almost surely, 212266160220 is an apocalyptic number.

12266160220 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 12266160220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343436800).

12266160220 is an abundant number, since it is smaller than the sum of its proper divisors (16420713380).

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

12266160220 is a wasteful number, since it uses less digits than its factorization.

12266160220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 12266160220 in words is "twelve billion, two hundred sixty-six million, one hundred sixty thousand, two hundred twenty".