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12319050240000 = 212365472341
BaseRepresentation
bin1011001101000100000010…
…0111010001000000000000
31121121200121210101121000000
42303101000213101000000
53103313403330140000
642111143224000000
72411010356215230
oct263210047210000
947550553347000
1012319050240000
113a1a5307813a9
12146b621000000
136b48b21c964a
14308360c15cc0
151656a7c90000
hexb34409d1000

12319050240000 has 3640 divisors, whose sum is σ = 56384358129792. Its totient is φ = 2627665920000.

The previous prime is 12319050239999. The next prime is 12319050240001. The reversal of 12319050240000 is 4205091321.

12319050240000 is a `hidden beast` number, since 1 + 2 + 31 + 90 + 502 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12319050239999) and next prime (12319050240001).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12319050240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 300464639980 + ... + 300464640020.

Almost surely, 212319050240000 is an apocalyptic number.

12319050240000 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 12319050240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192179064896).

12319050240000 is an abundant number, since it is smaller than the sum of its proper divisors (44065307889792).

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

12319050240000 is an frugal number, since it uses more digits than its factorization.

12319050240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12319050240000 in words is "twelve trillion, three hundred nineteen billion, fifty million, two hundred forty thousand".