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1213793280000 = 213325475371
BaseRepresentation
bin10001101010011011101…
…101111010000000000000
311022001000100012100000200
4101222123231322000000
5124341322034430000
62325335310245200
7153456633435240
oct21523355720000
94261010170020
101213793280000
11428848732554
121772a8ab6800
138a5ca128952
1442a6838db20
1521890ad8500
hex11a9bb7a000

1213793280000 has 1680 divisors, whose sum is σ = 5173733575296. Its totient is φ = 268369920000.

The previous prime is 1213793279977. The next prime is 1213793280101. The reversal of 1213793280000 is 823973121.

1213793280000 is a `hidden beast` number, since 1 + 2 + 1 + 379 + 3 + 280 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 119 ways as a sum of consecutive naturals, for example, 17095679965 + ... + 17095680035.

Almost surely, 21213793280000 is an apocalyptic number.

1213793280000 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 1213793280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586866787648).

1213793280000 is an abundant number, since it is smaller than the sum of its proper divisors (3959940295296).

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

1213793280000 is an frugal number, since it uses more digits than its factorization.

1213793280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1213793280000 in words is "one trillion, two hundred thirteen billion, seven hundred ninety-three million, two hundred eighty thousand".