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12227656320 = 273451141523
BaseRepresentation
bin10110110001101001…
…10011101010000000
31011120011111022010000
423120310303222000
5200020240000240
65341201040000
7612004235535
oct133064635200
934504438100
1012227656320
1152052141a0
122453026000
1311cb3830c9
1483dd5cd8c
154b873e430
hex2d8d33a80

12227656320 has 640 divisors, whose sum is σ = 48892092480. Its totient is φ = 2886451200.

The previous prime is 12227656183. The next prime is 12227656327. The reversal of 12227656320 is 2365672221.

12227656320 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 76 + 563 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12227656327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23379579 + ... + 23380101.

Almost surely, 212227656320 is an apocalyptic number.

12227656320 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 12227656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24446046240).

12227656320 is an abundant number, since it is smaller than the sum of its proper divisors (36664436160).

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

12227656320 is a wasteful number, since it uses less digits than its factorization.

12227656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12227656320 in words is "twelve billion, two hundred twenty-seven million, six hundred fifty-six thousand, three hundred twenty".