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12302055217200 = 2435271579328219
BaseRepresentation
bin1011001100000100101110…
…1000011001100000110000
31121120001202101020222112010
42303001023220121200300
53103024102113422300
642055253001402520
72406536253003630
oct263011350314060
947501671228463
1012302055217200
113a132aa502211
121468279499440
136b3104259838
143075cba706c0
15165010c4ca50
hexb304ba19830

12302055217200 has 240 divisors, whose sum is σ = 45324104587520. Its totient is φ = 2793987855360.

The previous prime is 12302055217129. The next prime is 12302055217217. The reversal of 12302055217200 is 271255020321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 3345310 + ... + 5982909.

Almost surely, 212302055217200 is an apocalyptic number.

12302055217200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302055217200 is an abundant number, since it is smaller than the sum of its proper divisors (33022049370320).

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

12302055217200 is a wasteful number, since it uses less digits than its factorization.

12302055217200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328404 (or 9328393 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 12302055217200 in words is "twelve trillion, three hundred two billion, fifty-five million, two hundred seventeen thousand, two hundred".