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12212805696 = 2637132330391
BaseRepresentation
bin10110101111111000…
…01010000001000000
31011112010112210212220
423113330022001000
5200002434240241
65335510451040
7611434064340
oct132774120100
934463483786
1012212805696
1151a78a0753
12244a063a80
1311c8283760
1483bdb4d20
154b72a9166
hex2d7f0a040

12212805696 has 224 divisors, whose sum is σ = 41500397568. Its totient is φ = 3080816640.

The previous prime is 12212805677. The next prime is 12212805707. The reversal of 12212805696 is 69650821221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×122128056963 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 386661 + ... + 417051.

It is an arithmetic number, because the mean of its divisors is an integer number (185269632).

Almost surely, 212212805696 is an apocalyptic number.

12212805696 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 12212805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750198784).

12212805696 is an abundant number, since it is smaller than the sum of its proper divisors (29287591872).

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

12212805696 is a wasteful number, since it uses less digits than its factorization.

12212805696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30449 (or 30439 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 12212805696 in words is "twelve billion, two hundred twelve million, eight hundred five thousand, six hundred ninety-six".