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12453422400000 = 2932558091069
BaseRepresentation
bin1011010100111000100111…
…0100011000001000000000
31122002112110102022120121200
42311032021310120020000
53113014102113300000
642253005005421200
72423505262556601
oct265161164301000
948075412276550
1012453422400000
113a71515314aaa
121491681b6a800
136c4477b373aa
14310a6ac2dda8
15168e1e88d500
hexb5389d18200

12453422400000 has 720 divisors, whose sum is σ = 45021506329800. Its totient is φ = 3313704960000.

The previous prime is 12453422399987. The next prime is 12453422400011. The reversal of 12453422400000 is 422435421.

12453422400000 is a `hidden beast` number, since 124 + 534 + 2 + 2 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3376362150144 + 9077060249856 = 1837488^2 + 3012816^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11649599466 + ... + 11649600534.

Almost surely, 212453422400000 is an apocalyptic number.

12453422400000 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 12453422400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22510753164900).

12453422400000 is an abundant number, since it is smaller than the sum of its proper divisors (32568083929800).

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

12453422400000 is an frugal number, since it uses more digits than its factorization.

12453422400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12453422400000 its reverse (422435421), we get a palindrome (12453844835421).

The spelling of 12453422400000 in words is "twelve trillion, four hundred fifty-three billion, four hundred twenty-two million, four hundred thousand".