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12210211968 = 273294147569
BaseRepresentation
bin10110101111100100…
…10000110010000000
31011111221200000221220
423113302100302000
5200001303240333
65335335115040
7611403042423
oct132762206200
934457600856
1012210211968
1151a6389a79
122449212a80
1311c7885cc6
1483b8db9ba
154b6e458b3
hex2d7c90c80

12210211968 has 256 divisors, whose sum is σ = 35163072000. Its totient is φ = 3745710080.

The previous prime is 12210211961. The next prime is 12210212029. The reversal of 12210211968 is 86911201221.

It is not an unprimeable number, because it can be changed into a prime (12210211961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21458788 + ... + 21459356.

It is an arithmetic number, because the mean of its divisors is an integer number (137355750).

Almost surely, 212210211968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581536000).

12210211968 is an abundant number, since it is smaller than the sum of its proper divisors (22952860032).

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

12210211968 is a wasteful number, since it uses less digits than its factorization.

12210211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 12210211968 in words is "twelve billion, two hundred ten million, two hundred eleven thousand, nine hundred sixty-eight".